Structural Dynamic Model Research Articles

The social microcosm revisited: A replication of Kivlighan et al. (2021) on the reciprocal relationship between in-session and intersession intimate behaviors.

The present study represents a replication and extension of Kivlighan et al.'s (2021) study, focusing on the social microcosm hypothesis, which posits that group members' interpersonal relationships, operationalized by intimate behaviors such as expressing anger or caring, inside the group, mirror their interpersonal relationships outside of the group. We examined the reciprocal associations between a group member's (e.g., actors) and the other group members' (e.g., partners) in-session and intersession intimate behaviors. The participants were 122 Italian graduate students (89.3% identifying as women) participating in eight-session interpersonal growth groups led by six experienced group therapists. Before each session group members completed the Interpersonal Relations Scale Checklist (Shadish, 1984) indicating their intersession intimate behaviors in the previous week. After each session group members completed the Interpersonal Relations Scale Checklist indicating their own in-session intimate behaviors. We used dynamic structural equation modeling to examine the reciprocal, temporal associations among group members' intersession and in-session intimate behaviors. The replication hypotheses were not confirmed. However, when partners engaged in higher than average intersession intimate behaviors in the previous week, then actors engaged in more in-session intimate behaviors in the current session. In addition, when actors and partners engaged in higher than average in-session intimate behaviors in the previous session, then actors engaged in significantly more intersession intimate behaviors in the current week. The results provide partial support for social microcosm theory, which predicts a reciprocal relationship for in-session and intersession intimate behaviors. As described above, there was a reciprocal relationship for partners' but not for actors' intimate behaviors. (PsycInfo Database Record (c) 2024 APA, all rights reserved).

Reciprocal relationships between posttraumatic stress disorder symptoms and positive and negative affect in evidence-based treatments for posttraumatic stress disorder.

Posttraumatic stress disorder (PTSD) is associated with elevated negative affect (NA; e.g., Badour et al., 2017) and diminished positive affect (PA; Nawijn et al., 2015). PTSD treatments reduce NA (e.g., Jerud et al., 2014), but changes in PA and relationships between changes in affect and PTSD symptoms remain unclear. This study examined changes in PA and NA in adults (N = 130) with PTSD receiving prolonged exposure (PE) or PE plus sertraline as part of a randomized controlled trial (NCT01600456). Participants completed measures of affect (PANAS; Watson et al., 1988) and PTSD symptoms at 10 weekly treatment sessions. Cross-lagged dynamic structural equation models examined associations between session-to-session fluctuations in affect and PTSD. PA increased moderately (d = 0.51) and NA decreased strongly (d = 0.78) across treatment sessions. Within-person fluctuations in PA and NA were generally reciprocal, PAt → NAt+1: effect size (ES) = -0.09, 95% CI [-0.15, -0.02]; NAt → PAt+1: ES = -0.20, 95% CI [-0.28, -0.13]. However, fluctuations in PTSD more strongly predicted next session NA (PTSDt → NAt+1: ES = 0.50, 95% CI [0.38, 0.60]) and PA (PTSDt → PAt+1: ES = -0.26, 95% CI [-0.34, -0.17]) than the reverse. PE augmentation with a selective serotonin reuptake inhibitor did not moderate temporal associations. Prolonged exposure produced substantial improvements in PA and NA. General affective changes may be more a consequence than a driver of PTSD improvement during PE, with improvements in NA and PA potentially linked to the extinction of negative emotional responses to trauma cues and increased engagement with rewarding activities, respectively. (PsycInfo Database Record (c) 2024 APA, all rights reserved).

Information seeking and subsequent affective well-being in Chinese young adults: the mediating effects of worry.

This study aimed to unravel micro-processes that link information seeking to subsequent affective well-being (i.e., positive and negative affect) at the within-person level, as well as the role of worry as a mediator in this relationship. Within the initial weeks following the Chinese government's relaxation of its epidemic control measures, 184 participants completed experience sampling methods on information seeking, COVID-related worry, and affective well-being three times a day for 14 days. According to dynamic structural equation models, information seeking was associated with high negative affect but not with low positive affect. COVID-related worry acted as a full mediator between information seeking at the previous time point (approximately 5 h ago) and the current negative affect, but not in positive affect. These findings suggested that the impact of information seeking on affective well-being was different for the two dimensions of affect. Furthermore, the persistent impact of information seeking on negative affect was attributed to the indirect effect of worry, suggesting that worry should be a point of focus for intervention to mitigate the potentially negative effects of information seeking within the context of the public health crises.

Modelling and analysis of two-dimensional static and dynamic aeroelasticity of Fish Bone Active Camber morphing aerofoils

As a continuous and smooth morphing concept for aerofoils, the Fish Bone Active Camber (FishBAC) concept has demonstrated significant aerodynamic efficiency improvements over traditional hinged flaps. In this paper, to investigate the static and dynamic aeroelasticity of FishBAC aerofoils, an unsteady two dimensional coupled fluid-structure interaction model is developed, which includes the structural response of the FishBAC spine, skin, stringers, tendons and actuator, coupled to an unsteady aerodynamics model. The structural dynamic model is Timoshenko beam-theory-based, while the aerodynamic model is based on Peters’ unsteady model. The static and dynamic aeroelasticity is studied after the model is validated. Results show that the increase in pulley rotational angle reduces the zero-lift angle of attack, while keeping the slope between the lift coefficient and angle of attack the same. A shorter morphing region closer to the trailing edge is beneficial for generating larger lift coefficient with the same tendon moment and angle of attack. Flutter occurs with the increase of the air speed. When the morphing end position is fixed at 0.9 chord, increasing the morphing length reduces the critical flutter speed significantly, with the second bending mode tending to drive instability. With the same morphing length, moving the morphing region closer to the leading edge increases the critical flutter speed, and the unstable mode changes from the second mode into the first mode.

Active Control for Construction Stability of Suspension Arch Rib Segments Based on ARID System

In response to the issues of vibrations affecting the construction safety, speed, and accuracy of suspended structures due to dynamic disturbances during lifting, environmental disturbances, and improper operator actions, this paper investigates the application of the Active Rotary Inertia Driver (ARID) system for double-rope suspended structures, namely analyzes, and applies control to the vibration response of double-rope suspended structures under external excitations. Taking the double-rope suspended structure as an example, a dynamic analytical model of the double-rope suspended structure is established based on D’Alembert’s principle. Through shake table tests, the dynamic response characteristics and vibration control effects of the double-rope suspended structure under various external excitations are studied, and the influence of the twisting radius of the suspended structure on the control effect is analyzed. The experimental results show that the ARID control system achieves significant control effects on the swing and torsional vibrations of the suspended structure, which validates the accuracy of the theoretical model for the ARID control system and demonstrates its feasibility for practical applications.

Modeling volatility in dynamic term structure models

We propose no-arbitrage term structure models with volatility factors that follow GARCH processes. The models’ tractability is similar to canonical affine term structure models, but they fit yield volatility much better, especially for long-maturity yields. This improvement does not come at the expense of a deterioration in yield fit. Because of the improved volatility fit, the model performs substantially better in pricing Treasury futures options. We conclude that the specification of the volatility factors is critical. Modeling volatility as a function of (lagged) squared innovations to factors improves on models where volatility is a linear function of the factors.

Low-dimensional dynamical models of structures with uncertain boundaries via a hybrid knowledge- and data-driven approach

Knowledge-driven modeling of structural dynamics relies heavily on the cognitive abilities of modelers and often struggles to address uncertain boundaries where multiple affecting factors generally exist, especially those currently not well understood. To address the issue, we present a new low-dimensional dynamical modeling approach, integrating data-driven technologies with traditional knowledge-driven methods to model uncertain boundaries and the other parts of the system accordingly. By modeling a flexible beam with one end uncertainly constrained and the other fixed, we fully demonstrate this methodology. The global mode method, an example of modal approaches, is employed to develop a low-dimensional model of the known part of the structure. Meanwhile, the artificial neural network, an example of data-driven methods, is employed to model the uncertain boundary whose effects on the natural characteristics of the system are considered. The simulation results demonstrate that the use of neural networks to develop a surrogate model with uncertain boundary conditions leads to a more accurate dynamical equivalent model when considering the effect of the uncertain boundary on the modal shape of the whole structure. Both theoretical and experimental validations are performed, which show good accuracy of the simulation results obtained from the developed models. Moreover, the models show good generalization capabilities in different excitations and achieve a 92% reduction in computation time compared to finite element models. This work not only lays a solid theoretical foundation but also paves a new way for developing future dynamical modeling techniques of complex and advanced systems.

Aeroelastic Influence of Blade-Shaft Coupling in a 1 1/2-Stage Axial Compressor

Abstract The design process of turbomachinery, is often constraint by aeroelastic phenomena. The design choices are limited by possible structural failure, which can be caused by high vibration amplitudes. In particular, damping has an important impact on these phenomena. In the absence of friction, damping is mainly created by aerodynamics. In this paper, additional damping created by the shaft will be investigated. This becomes relevant when blade vibrations with nodal diameters 1 and -1 couple structurally with shaft vibrations. To investigate the blade-shaft coupling, a simulation process is set up based on a full structural dynamic model of the blisk-shaft assembly and a harmonic balance CFD model to account for the aeroelastic effects. In addition, mistuning identification is performed based on an experimental modal analysis at standstill. All results are incorporated into a structural reduced order model that calculates the vibrational behavior of the blading. These results are compared to damping determined during operation using an acoustic excitation system and measured forced frequency responses. The numerical results agree well with the experimental results, i.e. within the measurement uncertainty. Furthermore, the blade-shaft coupling results in significant changes of the eigenfrequencies and damping. As a consequence, damping increases by up to twelve times due to the coupling. This reduces amplitudes by a factor of nine for the mistuned blade responses. Consequently, higher structural safety factors can be achieved by taking the blade-shaft coupling into account so that the remaining potentials in the aerodynamic design could be better exploited.

Investigation of bi-directional relations between pre-sleep electronic media use and sleep: A seven-day dairy study

The current study aimed to examine the bi-directional relationships between pre-sleep electronic media use and sleep, and to assess the relative predictive strength of different types of electronic media use in the evening on subsequent sleep. Eighty-eight young adults (20.57 ± 0.99, 27 males) completed an online intake survey and received notifications to complete daily diaries for seven consecutive days. Results of dynamic structural equation models (DSEM) revealed that the total screen time, sleep onset time, sleep latency, sleep duration, and sleep quality showed significant positive autoregressive parameters. In contrast, the results revealed no statistically significant cross-lagged associations between the total screen time in the evening and sleep outcomes. Inspection of the predictive strength of various types of screen activities at the within-person level revealed that increased active social media use is linked to delayed sleep onset, while internet browsing is associated with shorter sleep latency. At the between-person level, screen time of T.V. watching, video streaming, social media use, and shopping correlated with delayed sleep onset. Shopping was also connected to longer sleep latency. Additionally, more time spent on T.V., video streaming, non-work internet browsing, and shopping was linked to reduced total sleep duration. These findings indicated a screen activity-dependent association between pre-sleep screen time and subsequent sleep. More objective assessments of electronic media use (e.g., app recording screen time) and sleep (e.g., actigraphy) and longitudinal monitoring over a relatively long period (i.e., several weeks or months) are warred to further elucidate (cross-lagged) relationships between electronic media use and sleep.

Exploring the dynamics of virtual value co-creation in tourism: an analysis of social factors, mindful approach, and technological stress over time

AbstractThis research aims to analyze the relationship between social factors (social comparison orientation, loneliness, emotional support, and instrumental support) and the quadratic effects of the mindful approach and technological stress in co-creating virtual value for the tourism sector. Using a dynamic structural equation model, we analyzed data collected from a cohort of 400 tourists who actively participated in virtual tourism services between 2011 and 2022. Using this methodology, we investigate the long-term correlations between different elements and their impact on participants' participation in virtual value co-creation. Our research indicates a distinct correlation between the mindful approach and virtual value co-creation, exhibiting a positive quadratic effect that gradually decreases, implying the necessity of consistent mindfulness practices in the face of technological stress. Interestingly, we also find that technological stress has a positive quadratic role over time. As people become more adept at technology and accustomed to it, its favorable effects on virtual value co-creation diminish. In the current scenario characterized by collaborative innovation and interaction through digital platforms, they are of great importance for companies, especially in adapting to new social dynamics characterized by new technologies. Using the Mindful Approach in the digital context becomes necessary, emphasizing mainly conscious awareness to optimize the level of commitment, increasing the results of interactions. On the other hand, new technologies in value co-creative processes increase concern about technological stresses, especially in exposure to these new environments over time. In this way, achieving more excellent stability between digital interaction and reducing potential stressors becomes a critical business strategy for sustaining collaboration dynamics over time, thus ensuring individuals’ well-being and maximizing the concretion processes’ positive impact at both the individual and social levels.

The dynamics of L2 teacher boredom and their link to creativity: A ban or boon for boredom

AbstractResearch has revealed a prevalence of boredom among L2 teachers, despite efforts to mitigate this negative emotion. The interplay between teacher boredom and creativity, especially their concurrent development, has not been extensively studied longitudinally. Utilizing control‐value theory as its foundation, this study investigates the daily progression of boredom and creativity among L2 teachers, their mutual development, and how control‐value beliefs influence these dynamics. A 5‐day experience sampling method study involving 98 L2 teachers generated 423 observations. Dynamic structural equation modeling (DSEM) was employed at the individual (Level 1) and group (Level 2) levels. DSEM results revealed varied relationships between boredom and creativity changes over a week, influenced by teachers’ control and value beliefs. In innovators, with high perceived control and intrinsic value beliefs and moderate to high extrinsic value beliefs, previous experiences of boredom might positively influence the teacher's creativity the next day. This creativity might, in turn, decrease the teacher's boredom. This suggests a potential positive relationship between boredom and creativity in innovative language teachers. In adaptors, with moderate perceived control and intrinsic value beliefs and medium to low extrinsic value beliefs, previous experiences of boredom did not necessarily influence the teacher's creativity the next day. However, teacher creativity might still decrease teacher boredom. For traditionalists, with medium perceived control and intrinsic value beliefs and moderate to high extrinsic value beliefs, previous experiences of boredom might have decreased the teacher's creativity the next day, while teacher creativity might have decreased the teacher's boredom the same day. Finally, in dissatisfied teachers with low perceived control, intrinsic value, and extrinsic value beliefs, previous experiences of boredom might have decreased the teacher's creativity the next day, while teacher creativity might not necessarily predict the teacher's boredom. Results suggest a reciprocal relationship between boredom and creativity in adaptable and traditionalist teachers. Additionally, Level 2 analysis identified correlations between random effect parameters across four clusters.

Beyond one-size-fits-all suicide prediction: Studying idiographic associations of risk factors for suicide in a psychiatric sample using ecological momentary assessment

The Interpersonal Psychological Theory of Suicide (IPTS) states that thwarted belongingness (TB), perceived burdensomeness (PB), and hopelessness are risk factors for suicidal ideation. This ecological momentary assessment (EMA) study aimed to (1) demonstrate that there is substantial between-person variability in the association between IPTS predictors and suicidal ideation, (2) identify clusters of patients for which the predictors differently predict suicidal ideation, and (3) examine whether identified clusters are characterized by specific patient characteristics. EMA data were collected ten times per day for six days in 74 psychiatric inpatients and was analyzed with dynamic structural equation modelling. Idiographic associations were obtained and clustered using k-means clustering. We found substantial between-person variability in associations between IPTS predictors and suicidal ideation. Four distinct clusters were identified and different risk factors were relevant for different clusters. In the largest cluster (n = 36), none of the IPTS predictors predicted suicidal ideation. Clusters in which associations between IPTS variables and suicidal ideation were stronger showed higher suicidal ideation, depression, and lower positive affect. These findings suggest that a one-size-fits-all model may not adequately reflect idiosyncratic processes leading to suicidal ideation. A promising avenue might be to use idiographic approaches to personalize prediction and interventions.

A Survey of Aero-Engine Blade Modeling and Dynamic Characteristics Analyses

The rotating blade is a key component of an aero-engine, and its vibration characteristics have an important impact on the performance of the engine and are vital for condition monitoring. This paper reviews the research progress of blade dynamics, including three main aspects: modeling of blades, solution methods, and vibration characteristics. Firstly, three popular structural dynamics models for blades are reviewed, namely lumped-mass model, finite element model, and semi-analytical model. Then, the solution methods for the blade dynamics are comprehensively described. The advantages and limitations of these methods are summarized. In the third part, this review summarizes the properties of the modal and vibration responses of aero-engine blades and discusses the typical forms and mechanisms of blade vibration. Finally, the deficiencies and limitations in the current research on blade modeling and vibration analysis are summarized, and the directions for future efforts are pointed out. The purpose of this review is to provide meaningful insights to researchers and engineers in the field of aero-engine blade modeling and dynamic characteristics analysis.

Evidence for a vicious socioemotional cycle of negative emotions and interpersonal conflict.

Four samples of adults (Sample 1, N = 145; Sample 2, N = 160; Sample 3, N = 297; Sample 4 = 89 dyads, 178 individuals) completed ecological momentary assessment protocols focused on a variety of interpersonal and emotional experiences. Samples were enriched for aggressive and self-harming behavior (Sample 1), trait hostility (Sample 2), interpersonal problems (Sample 3), and personality disorder features (Sample 4). Using multilevel dynamic structural equation modeling, we investigated how emotions and interpersonal functioning operate over brief timescales in daily life. We found evidence for a vicious socioemotional cycle across all four samples, whereby negative emotions related to interpersonal conflict (i.e., perceptions of and enacting cold, antagonistic, or quarrelsome behavior; components that contribute to the interpersonal situation from the perspective of CIIT) which in turn related to increased negative emotions. Although individuals differed in the strength of this process, it was unrelated to trait negative affectivity. Viewing these results through the lens of CIIT, we discuss multiple intervention points highlighted by these dynamic results whereby the vicious cycle might be changed. (PsycInfo Database Record (c) 2024 APA, all rights reserved).

Unsteady Lifting-Line Theory for Camber Morphing Wings State-Space Aeroelastic Modeling

A novel frequency-domain analytical-numerical model for the aerodynamic solution of camber morphing wings is developed. The model combines an unsteady lifting-line formulation with Küssner–Schwarz aerodynamic theory to provide the pressure distribution and thus the transcendental aerodynamic matrix that relates the generalized aerodynamic forces to the Lagrangian coordinates of a given wing structural dynamics model. The state-space form of the aerodynamic loads is obtained from the rational matrix approximation of the aerodynamic matrix. This, combined with the wing structural dynamics operator, can readily provide the state-space form of the aeroelastic problem. To assess the accuracy of the proposed aerodynamic solution method, numerical investigations are performed. These consist of its application to several conventional wing configurations and wings with camber morphing, followed by the comparisons of the corresponding solutions with the predictions given by a well-validated panel-method solver for potential flows. These results are shown to be in very good agreement, thus demonstrating that the proposed approach can capture the effects due to wing tapering, sweep angle, and camber morphing, while requiring a remarkably lower computational effort. The excellent accuracy of a few-pole finite-state approximation of the aerodynamic matrix is finally proven for a swept wing with camber morphing.

Time-Varying Aeroelastic Modeling and Analysis for a Morphing Wing

The paper presents a novel time-varying aeroelastic modeling approach for the morphing wing with the process of camber changing. The time-varying modeling methodology includes structural dynamics modeling, unsteady aerodynamic modeling, and interpolation for fluid–structure coupling. Firstly, the morphing wing is modularized and divided into fixed and variable parts by the floating frame of reference formulation. It is combined with the Craig–Bampton method to reduce order and eliminate nonindependent degrees of freedom. Then, the unsteady vortex-lattice method is used to calculate the transient, unsteady aerodynamic force for time evolution. Furthermore, the above time-varying structural dynamics modeling and a fluid–structure coupling interpolation are integrated to construct overall aeroelastic modeling, obtaining a set of differential-algebraic equations. Finally, these equations are numerically solved by the generalized-α method. The proposed approach provides an innovative idea to deal with the incredible complexity of the aeroelastic effect as structural characteristics change over time. It can efficiently and accurately analyze the morphing wing’s transient response or flutter property. To verify and utilize the time-varying aeroelastic modeling approach, numerical calculations and comparative studies were carried out regarding the time-varying characteristics of the structural modes, aerodynamic calculations, and flutter prediction of the morphing wing.

Amplitude‐dependent modal viscous damping for distributed stick–slip systems

AbstractAn accurate damping model serves as the foundation for reliable structural analysis. One of the primary sources of structural damping is the stick–slip mechanism caused by interfacial friction. Structural damping is usually represented by the modal damping ratio, and the modal equivalent viscous damping ratio (EVDR) of a stick–slip system is crucial in structural dynamic modeling. To date, an accurate yet simple prediction method for modal amplitude‐dependent EVDR that considers the distribution characteristics of the stick–slip mechanism remains unavailable. In the present study, the modal EVDRs of a distributed stick–slip system (DSSS) extended from a single degree‐of‐freedom stick–slip system were calculated using the modal energy equivalence method. The correlation between the stick–slip parameters and the modal damping behavior was investigated at various amplitude levels on the basis of the assumption of equal stick–slip parameters. A two‐parameter damping model represented by a single stick–slip damping model was developed to capture the amplitude dependence of the frictional EVDR. Furthermore, a practical prediction method based on the stick–slip parameters was proposed for the modal EVDR of the fundamental and higher‐order modes. The seismic analysis of two illustrative structures with nonuniform and uniform interstory stiffness demonstrated the effectiveness and applicability of the proposed method in predicting the modal EVDR of the DSSS. The proposed equivalent linear viscous damping system is suitable for the quick prediction of structural dynamic responses.

Protocol and preregistration for the CODEC project: measuring, modelling and mechanistically understanding the nature of cognitive variability in early childhood

BackgroundChildren’s cognitive performance fluctuates across multiple timescales. However, fluctuations have often been neglected in favour of research into average cognitive performance, limiting the unique insights into cognitive abilities and development that cognitive variability may afford. Preliminary evidence suggests that greater variability is associated with increased symptoms of neurodevelopmental disorders, and differences in behavioural and neural functioning. The relative dearth of empirical work on variability, historically limited due to a lack of suitable data and quantitative methodology, has left crucial questions unanswered, which the CODEC (COgnitive Dynamics in Early Childhood) study aims to address.MethodThe CODEC cohort is an accelerated 3-year longitudinal study which encompasses 600 7-to-10-year-old children. Each year includes a ‘burst’ week (3 times per day, 5 days per week) of cognitive measurements on five cognitive domains (reasoning, working memory, processing speed, vocabulary, exploration), conducted both in classrooms and at home through experience sampling assessments. We also measure academic outcomes and external factors hypothesised to predict cognitive variability, including sleep, mood, motivation and background noise. A subset of 200 children (CODEC-MRI) are invited for two deep phenotyping sessions (in year 1 and year 3 of the study), including structural and functional magnetic resonance imaging, eye-tracking, parental measurements and questionnaire-based demographic and psychosocial measures. We will quantify developmental differences and changes in variability using Dynamic Structural Equation Modelling, allowing us to simultaneously capture variability and the multilevel structure of trials nested in sessions, days, children and classrooms.DiscussionCODEC’s unique design allows us to measure variability across a range of different cognitive domains, ages, and temporal resolutions. The deep-phenotyping arm allows us to test hypotheses concerning variability, including the role of mind wandering, strategy exploration, mood, sleep, and brain structure. Due to CODEC’s longitudinal nature, we are able to quantify which measures of variability at baseline predict long-term outcomes. In summary, the CODEC study is a unique longitudinal study combining experience sampling, an accelerated longitudinal ‘burst’ design, deep phenotyping, and cutting-edge statistical methodologies to better understand the nature, causes, and consequences of cognitive variability in children.Trial registrationClinicalTrials.gov - NCT06330090

Applying dynamic structural equation modeling (DSEM) to examine the dynamics of students’ affect and learning goal achievement

Affect is a critical factor impacting students’ goal setting and goal achievement in learning. While existing studies have demonstrated the vital role of affect in learning and goal achievement, the day-to-day fluctuations of affect and their impact on learning have rarely been examined. This study explored the dynamic relationships between positive affect (PA), negative affect (NA), and daily learning goal achievement (LGA) in 72 college students ahead of a high-stakes test, analyzing 32 days of survey responses totaling 2111 observations. We employed dynamic structural equation modeling (DSEM) to assess the stability, variability, and potential reciprocal relationships of PA, NA, and LGA. Additionally, we investigated the effects of depression, age, and the number of semesters studied on these variables. Results indicated that PA, NA, and LGA remained stable over the observation period, with no systematic changes or trajectories, yet exhibited significant fluctuations within and between participants. All autoregressive effects for PA, NA, and LGA were significant. Both PA and NA were significantly related to concurrent measures of LGA, although no significant cross-lagged relationships between PA and NA were found. Variability in PA, NA, and LGA was significantly explained by students’ age, number of semesters studied, and level of depressive symptoms. Further findings and implications of the study are discussed.

Vibration control and robustness analysis of tensegrity structures via fuzzy dynamic sliding mode control method

This study addresses the problem of mitigating vibration responses in tensegrity structures subjected to complex dynamic loading conditions. The overall purpose is to develop an effective control method to enhance the stability and performance of these structures. To achieve this, a fuzzy dynamic sliding mode control (FDSMC) method is proposed. The methodology involves deriving the state space expression of the controlled system based on the tensegrity structure's dynamic model, followed by designing a dynamic sliding mode controller using the reaching law. Fuzzy rules are incorporated to adaptively adjust the dynamic sliding mode parameters, accounting for uncertainties in controller parameters, thereby ensuring high efficiency and smooth controller output. A comparative analysis scheme, focusing on identical energy input on actuators, is utilized to evaluate the performance of various active vibration control methods. Two illustrative examples, a spatial double-layer tensegrity beam and a complex tensegrity spiral tower, are investigated in detail. The findings demonstrate that the FDSMC method significantly reduces structural dynamic responses and improves algorithm robustness compared to the conventional linear quadratic regulator (LQR) method, indicating its promising potential for relevant engineering applications.