Vibration Suppression Performance Research Articles

Optimal design and dynamic performance analysis of a fractional-order electrical network-based vehicle mechatronic ISD suspension

To further explore the beneficial effects of the vibration isolation performance of a new vehicle ISD (inerter-spring-damper) suspension using a mechatronic inerter, this paper proposes a novel optimal design methodology for a vehicle mechatronic ISD suspension system based on a fractional-order electrical network is proposed. In view of difficulties in the engineering implementation of fractional-order mechanical network elements, this paper first studies the correspondingrelationship and analytical expression of fractional-order mechanical and electrical network elements respectively. Under the instruction of fractional calculus, the fractional-order electrical network elements are used to realize equivalent fractional-order mechanical network elements by adopting a ball-screw mechatronic inerter. Then, a quarter car dynamic model of vehicle mechatronic ISD suspension is constructed, and the parameters of the fractional-order electrical network and the integer-order electrical network are obtained by means of particle swarm optimization algorithm. The performance advantages of vehicle mechatronic ISD suspension using a fractional-order electrical network are verified by numerical simulations and experiments. The results show that, compared with the application of an integer-order electrical network, the vibration suppression performance of a vehicle mechatronic ISD suspension can be further enhanced by using a fractional-order electrical network.

Triboelectric nanogenerator metamaterials for joint structural vibration mitigation and self-powered structure monitoring

A metamaterial-inspired triboelectric nanogenerator (META-TENG) is proposed in this work to simultaneously realize vibration suppression and energy harvesting. The compact META-TENG can generate low frequency local resonant phenomenon and significantly reduce the incident vibration at the low-frequency band. A planar spring is created, which guarantees low-frequency resonance and a sufficient triboelectric contact surface within a small-scale device. The bandgap property of the proposed metamaterial is then calculated using the finite element method and corresponds well with the experimental measurement results. To fabricate the TENG, fluorinated ethylene propylene (FEP) film and Ecoflex are employed as the negative and positive triboelectric materials, respectively. It is found that the introduction of multi-walled carbon nanotubes (MWCNTs) into Ecoflex is favorable for enhancing the META-TENG’s output performance, increasing the output voltage by almost three times. The charge density of the TENG can reach up to 453.1μC/m2under 5 N sinuous excitation. The periodic META-TENG configuration also exhibits satisfying vibration suppression performance, where the vibration amplitude of an aluminum plate integrating four META-TENGs is minimized by up to 87 %. The harvested energy from the META-TENG array enables an accelerometer and Bluetooth module to work in wireless mode, making the whole system achieve self-powered vibration monitoring.

Vibration Suppression of HTS Maglev System Based on Negative Resistance Electromagnetic Shunt Damper

The high-temperature superconducting (HTS) maglev system has tremendous possibilities for future high-speed transportation application owing to its salient advantages of self-stable levitation and zero pollution operation. However, previous study indicated that the relatively low damping of HTS system may lead the undesired large-amplitude nonlinear vibration in system. Thus, electromagnetic shunt damper (EMSD), which usually consists of electromagnets, permanent magnets and shunt impedance connected to the terminals of the coils, is introduced in the system to improve the damping of the system. The effect of EMSD is to transfer the mechanical energy to electrical energy and consume it in the form of Joule heat. For better vibration suppression performance, this paper proposes a negative resistance electromagnetic shunt damper (NR-EMSD) in HTS maglev vehicle model. The negative resistance can offset the inherent resistance of the electromagnet coils and as a consequence, the induced current of the circuit will increase as well as the induced electromagnetic force. Also, the change of total resistance of the circuit will influence the vibration reduction performance. In this paper, the effect of NR-EMSD is tested by experiment under different working conditions compared with the model without EMSD. The results are analyzed and basic conclusions are summarized. This work may provide references for further practical application in HTS system.

A novel semi-active tuned mass damper with a continuously tunable stiffness

A passive tuned mass damper can only be designed to have a good damping effect near the resonance frequency of the primary structure. To overcome this limitation, a novel semi-active tuned mass damper with continuously tunable stiffness is proposed in this paper. The proposed design features a compact mechanism that can vary its stiffness by changing the number of active coils in parallel and series configurations of helical springs. The real-time control of the stiffness is achieved by designing and implementing a driving system for this mechanism. The motion characteristics and required driving torque for the designed prototype are also examined during the stiffness tuning process. It is demonstrated that the novel semi-active tuned mass damper can tune its stiffness over a wide range, and consequently tune its working frequency band to a desirable region with a proper control law. The effectiveness of the proposed prototype was investigated numerically and experimentally with respect to one-degree-of-freedom harmonic excitations in the frequency ratio range of 0.8–1.2. The results indicate that the prototype preserves optimal vibration suppression performance across a broad frequency range. Thus, the proposed semi-active tuned mass damper can provide a simple and effective in-situ tunable tool for suppressing primary structure vibration in the presence of non-stationary vibratory excitations.

Investigation of vibration suppression performance of composite pyramidal truss sandwich cylindrical shell panels with damping coating

Vibration suppression performance of composite pyramidal truss sandwich cylindrical shell (CPTSCS) panels with damping coating (DC) is investigated in the present study. Firstly, a novel theoretical model under elastically supported boundary conditions subjected to base excitation is developed, which is based on the first-order shear deformation theory, combined with artificial spring technique, the Rayleigh–Ritz variational approach and the Duhamel integral method. The equation of motion of the DC-CPTSCS panels is deduced to obtain the free and forced vibration solutions, followed with the convergence investigation for determining an appropriate truncation number adopted in the future predictions. After these specimens with and without damping coating are fabricated, the detailed vibration tests are conducted to provide a reliable verification for this model. Also, the influence of key material and geometric parameters associated with damping coating, pyramidal truss core and composite face sheets on vibration properties are discussed in the parametric study, which provides some important advices to better exert vibration suppression capabilities of the DC-CPTSCS panels.

Vibration Characteristics Analysis of O-Shaped Damping Ring to Balance Damping Gear Transmission System for Three-Cylinder Engine

Balance shafts are often used to improve the engine vibration characteristics of three-cylinder engines. The balance damping gear with a damping ring is an important part connecting the crankshaft and the balance shaft transmission. The stiffness characteristics of the damping ring and the unbalance of the gear have an important influence on its vibration suppression performance, but the coupled influence of the stiffness characteristics of the damping ring and the unbalanced characteristics of the vibration damping gear is unknown. In this paper, a multi-body dynamic bending–torsional coupling model of the transmission system of a three-cylinder engine with a balance damping gear is constructed considering the equivalent stiffness of the balance shaft support. Based on the fourth-order Runge–Kutta method, the influence laws of different rotational speeds, load torques, gear unbalance, radial stiffness and torsional stiffness of the damping ring on the vibration characteristics of the transmission system are obtained. The results show that the vibration amplitude increases linearly with the increase in the rotational speed and the amount of unbalance. As the load torque increases, the noise radiation of the system increases. The change in the equivalent torsional stiffness of the damping ring has little effect on the radial vibration suppression effect of the gear. As the equivalent radial stiffness of the damping ring increases, the vibration suppression rate decreases linearly. Combined with the calculation formula of damping ring stiffness, when the inner and outer diameters of the damping ring are relatively large, the vibration suppression performance decreases sharply with the increase in the thickness of the damping ring. Therefore, in order to achieve a better vibration attenuation effect, the inner to outer diameter ratio of the damping ring should be given priority in the design of the damping gear. Thus, the thickness of the design can meet the requirements of the vibration attenuation performance and a vibration attenuation of more than 90% of the radial vibration can be achieved. The model of the damping ring size and the vibration suppression effect established based on the method presented in this paper can be used to guide the design of balance damping gears.

Mode localization in metastructure with T-type resonators for broadband vibration suppression

This paper proposes a design scheme of a plate-type metastructure integrated with mistuned T-type resonators for broadband vibration suppression. We focus on the effect mechanism of mode localization of the resonators on the bandgap of the metastructure under simply supported boundary conditions. The mathematical model is formulated to accurately predict its dynamic behaviors based on the Hamilton’s principle. The explicit bandgap edge expressions considering the mistuning factor are developed based on the modal analysis approach using the assumption of an infinite number of resonators. It is found that the bandwidths of the bandgaps targeted at a natural frequency of the metastructure depend not only on the mass ratio of the T-type resonator but also on the mistuning factors. With the influence of mistuning parameters on mode localization feature (i.e., the phenomena of the frequency veering and the exchange of mode shapes) of the T-type resonator theoretically and experimentally examined, the formation mechanism of broaden bandgaps of the metastructure is revealed. A coupling broad bandgap and double bandgaps can be generated by designing appropriate mistuning parameters. In particular, the phenomena of the bandgap boundaries veering and bandgap near-coupling can be formed through the interaction of double bandgaps to improve the performance of vibration suppression. The present work demonstrates that the proposed mode-localization-based metastructure can provide some insights and potential applications for broadband and multi-frequency vibration suppression of engineering structures.

Nonlinear interaction of the damped large dynamic deformations of the Mooney–Rivlin hyperelastic plates with the viscoelastic and shear reactions of the supporting substrate

In this research, the interaction between the damped large deformation dynamic responses of the Mooney–Rivlin hyperelastic plates and the viscoelastic and shear characteristics of the supporting substrate (that constitute a visco-hyperelastic system) is investigated for various distributions and various time variations of the transverse loads and different boundary conditions. A viscoelastic Winkler–Pasternak model is chosen for the supporting substrate to account for the dissipative, shearing, and supporting features of the foundation. The governing equations of motion are obtained by using Hamilton’s principle, von Karman assumptions, left Cauchy–Green deformation tensor, and a modified classical plate theory whose accuracy is enhanced through the incorporation of an appropriate high-order incompressibility condition. The combination of the nonlinear and coupled motion equations and boundary conditions is solved by an iterative 2D differential quadrature (DQ) spatial-discretization and Newmark’s time-marching methods. The effects of the constitutive parameters of the hyperelastic material, magnitude and type of the distributed loads, the thickness and aspect ratios of the plate, parameters of the Winkler–Pasternak viscoelastic foundation, and boundary conditions on the dynamic lateral deflections of the plate are studied examined during the parametric studies. Results emphasize the role of the visco-hyperelasticity features interaction of the combined plate-substrate system on the vibration suppression and dynamic performance of the structure in different spatial and time-variation patterns of the distributed loads and various boundary conditions.

Stochastic vibration suppression of composite laminated plates based on negative capacitance piezoelectric shunt damping

This paper studies the stochastic vibration suppression of the composite laminated plates by using the negative capacitance piezoelectric shunt damping. The energy method and Hamilton’s principle are employed to formulate the dynamic model of the composite laminated plate with negative capacitance piezoelectric shunt damping circuit. The random dynamic response of the coupled system subjected to nonstationary stochastic excitations is further obtained based on the modified Ritz method and pseudo excitation method (PEM). The accuracy of the proposed method is validated by comparing the obtained random results with those from the published literature and satisfactory agreements can be observed between them. Furthermore, the vibration suppression performance of the proposed piezoelectric shunt damping with series negative capacitor or parallel negative capacitor is discussed, respectively. Finally, the effects of key parameters of the piezoelectric shunt damping on the vibration suppression performance are discussed in detail.

Modeling and control of helicopter flight control system with a controllable Semi-rotary fluid viscous damper

To improve the handling comfort of Helicopter Flight Control System (HFCS), an adaptive particle swarm optimization optimized variable universe fuzzy proportional-integral-derivative (APSO-VUFPID) strategy for damping force control is proposed. First of all, by the results of the controllable semi-rotary fluid viscous damper (CSFVD) mechanical tests, a hyperbolic tangent model is developed. Afterwards, an equivalent model of HFCS is established. In the next part, aiming at improving the vibration suppression performance of the joystick system, an APSO-VUFPID is proposed to generate the desired damping force in real-time. Finally, numerical simulation and experimental tests are carried out to verify the vibration reduction effect of the proposed APSO-VUFPID method with respect to passive, proportional-integral-derivative (PID), adaptive particle swarm optimization optimized proportional-integral-derivative (APSO-PID) and adaptive particle swarm optimization optimized fuzzy proportional-integral-derivative (APSO-FPID) methods. The results show that the hyperbolic tangent model can accurately describe the nonlinear mechanical characteristics of the CSFVD. Moreover, under the proposed APSO-VUFPID control method, the amplitude of acceleration and velocity of the joystick system are smaller than those obtained from passive, PID, APSO-PID and APSO-FPID methods. Therefore, the proposed APSO-VUFPID controller has better handling comfort compared to passive, PID, APSO-PID and APSO-FPID controllers and can be employed in real applications.

Vibration Control of Disturbed All-Clamped Plate with an Inertial Actuator Based on Cascade Active Disturbance Rejection Control

In this paper, active disturbance rejection control (ADRC) is applied to the vibration control of the all-clamped plate structure with an inertial actuator. Knowing that modeling uncertainties, dynamic nonlinearities and multivariable couplings are often the major causes of a downgrading performance and instability, a cascade ADRC controller is, hence, utilized to mitigate the effects of these issues. The dynamics regarding the all-clamped plate structure and inertial actuator are obtained through theoretical analysis and experimental testing. Furthermore, the real-time control experimental verification is carried out on the hardware-in-the-loop platform based on the NI PCIe-6343 data acquisition card. The comparative experimental results show that the proposed cascade ADRC controller has a better vibration suppression performance, disturbance rejection performance and decoupling ability.

The application of tuned mass dampers to the Tire Pavement Test Apparatus to minimize the impact of rig resonance

The 'Tire Pavement Test Apparatus (TPTA)' at Purdue University is a device that was originally developed to study a tire's air-borne noise radiation in the frequency range 300 Hz to 2 kHz. However, in recent years, the device has mainly been used to quantify a tire's contribution to structure-borne noise by measuring the force and acceleration at the hub. Hence, the frequency range of interest has shifted to frequencies below 300 Hz. By comparing measurements and FE simulations, undesired vibration was observed around 160 Hz in the measurement data. It was speculated that the rig supporting the tire exhibits resonant vibration in a frequency range that hinders the measurement of tire force in that range. To identify the cause and mechanism of the rig resonance, Experimental Modal Analysis (EMA) was performed. In addition, to mitigate the influence of rig resonance, tuned mass dampers commonly used in vehicle suspension systems were applied to the connecting arms of the TPTA. Careful adjustments of their mass and stiffness were performed to maximize vibration suppression performance by matching the major natural frequency of the TPTA support arms. As a result, significant vibration attenuation could be achieved, which has made it possible to highlight the pure tire effects in the measurement data.

Adaptive multiswarm particle swarm optimization for tuning the parameter optimization of a three-element dynamic vibration absorber

Abstract. A reliable optimization of dynamic vibration absorber (DVA) parameters is extremely important to analyze its dynamic damping characteristics and improve its vibration suppression performance. In this paper, we will discuss a parameter optimization method of the Voigt and three-element DVA models according to the H∞ optimization criterion. The particle swarm optimization method is an effective heuristic optimization algorithm; however, it is easy to lose diversity and fall into local extremum. To solve this problem, the adaptive multiswarm particle swarm optimization (AM-PSO) is used to search the solution of the DVA models. Particles in AM-PSO are adaptively divided into multiple swarms, and the variable substitution learning strategy is utilized to reduce their computational complexity and improve the algorithm's global search capability. In addition, the AM-PSO method is employed to optimize the parameters of DVA models and compared with the genetic algorithm and PSO. The simulation results show that the AM-PSO algorithm has superior performance. Also, the adaptive multiswarm numerical design method discussed herein will push the field towards practical applications, including traditional DVA and related complex three-element DVA.

Modeling of the bio-inspired vibration isolation platform supported by X-structures via D’Alembert’s principle of virtual power

Most bio-inspired vibration isolators have wide frequency isolation band and high loading capacity simultaneously, thanks to their high-static-low-dynamic-stiffness. However, accurate modeling and multi-directional isolation analysis are always needed for real applications because of their structural complexity. In this work, an innovative accurate model is established for the 2D bio-inspired X-structure isolators and the corresponding 3D isolation platforms respectively based on D’Alembert’s Principle of virtual power, which is very beneficial for the system with many degrees-of-freedom. After that, the perturbation method is utilized to investigate the difference between the simplified and accurate models. Regarding the elastic limit of the springs, boundaries of the initial velocity and the applied force are calculated via the dichotomy method. Results reveal that our model has similar dynamic response but higher loading capacity, compared with the simplified one. Moreover, the Stewart platform shows better multidirectional vibration suppression performance.

Envelope-Based Variable-Gain Control Strategy for Vibration Suppression of Solar Array Using Reaction Wheel Actuator

The orbital operation of spacecraft can excite the long-drawn and low-frequency vibration of the solar array, which is prone to affecting the task execution of the system. To address this issue, an envelope-based variable-gain control strategy is proposed to suppress vibration of the solar array using the reaction wheel (RW) actuator. The RW actuator is individually mounted on the solar array to provide reaction torque through the speed change of its rotor. The governing equation of motion of the solar array actuated by a RW actuator is deduced with the state space representation. The control relation between the measured bending moment and the rotational speed of the RW actuator with the constant-gain coefficient is firstly developed and demonstrated in numerical simulation. Changing the gain coefficient to be inversely proportional to the envelope function of vibration, a variable-gain control strategy is proposed to improve the damping effect of the RW actuator. Simulation results show that the vibration suppression performance of the RW actuator is improved compared to the constant-gain control. As the actual on-orbit natural frequency of the solar array is not always exactly known, the robustness of the control system is analyzed for the deviation between the estimated and the actual natural frequency values. The proposed variable-gain control is also experimentally verified using a simplified elastic plate model. Experimental results indicate that the vibration attenuation time is decreased to 29.1% and 50.22% compared to the uncontrolled and the constant-gain controlled states, respectively.

Inerter Location-Based Vibration Suppression Study of a Transmission Line Equipped with Tuned-Mass-Damper-Inerter (TMDI) under Harmonic Excitation

This paper proposes a novel ungrounded TMDI to improve the vibration suppression performance of the transmission line under harmonic excitation. This type of inerter-based damper may transform a translational motion into a rotational motion, greatly increasing the efficiency of vibration suppression. In the present study, the differential equations of motion are first derived based on the transmission line with an ungrounded TMDI structure. Then the closed-form solution of the displacement response spectrum considering the influence of the suspension location of the inerter is developed. The impact of the inerter location on vibration suppression performance is investigated in depth by defining the suspension location factor (υ) and tuning the damping ratio and frequency ratio. The results demonstrate that the suspension location of the inerter has a substantial impact on the damping ratio, frequency ratio, and vibration suppression performance. When the connection location of the inerter is near to the mass of the damper, it degrades the vibration suppression performance of the system. The failure phenomenon of the inerter occurs in the range of 0.2 < υ < 0.3, indicating that the presence of the inerter in this range does not enhance vibration suppression performance. The modal coordinate difference has a considerable impact on the vibration suppression efficacy of the TMDI. With increasing modal coordinate differences, the vibration suppression performance of the TMDI grows dramatically.

Enhanced suppression of longitudinal vibration transmission in propulsion shaft system using nonlinear tuned mass damper inerter

This study proposes the use of a novel nonlinear tuned mass damper inerter device in vibration suppression of the ship propulsion shafting system and evaluates its performance. The device consists of an axial inerter and a pair of lateral inerters to create geometric nonlinearity. The system response subjected to propeller forces is determined by using the harmonic balance method with alternating-frequency-time technique and a numerical time-marching method. The force transmissibility and energy flow variables are employed to assess the performance of the device. The results show that the proposed device can reduce the peak force and energy transmission to the foundation while increase the energy dissipation within the device. Its use can lead to an improved vibration attenuation effect than the traditional mass-spring-damper device for low-frequency vibration. The configurations of the nonlinear inerter-based device can be adjusted to obtain an anti-peak at a resonance frequency of the original system, providing superior vibration suppression performance.

A novel crank inerter with simple realization: Constitutive model, experimental investigation and effectiveness assessment

The inerter-based device is of increasing interest to scholars in the field of structural vibration control, which is characterized by apparent mass and negative stiffness effects. With this regard, it is potential to develop variable negative stiffness characteristics with the technology of inerter, which is promising to provide improved performance for structural vibration isolation and vibration suppression. In this study, the theoretical analysis and experimental investigation of a novel inerter element, named crank inerter, is performed. The presented crank inerter is proposed to generate a variable negative stiffness effect, which is realized on the basis of a crank mechanism. A constitutive model of crank inerter is developed to predict its mechanical behavior. For an in-depth understanding of the inertial property of the crank inerter, a parametric analysis is conducted on the inertia force calculation of the crank inerter. A prototype crank inerter is fabricated and tested under sinusoidal excitations to verify the proposed constitutive model. A variable negative stiffness of the crank inerter is reflected from the proposed constitutive model. The theoretical results calculated with the proposed constitutive model match well with the experimental data, which verifies that the proposed model can predict the mechanical behavior of the crank inerter. The dynamic analysis of a vibration isolator with a crank inerter is conducted to illustrate its effectiveness using the proposed constitutive model. The analysis results preliminarily show that the isolator with crank inerter can improve the structural performances regarding the peak force transmissibility and frequency band. Based on the presented investigations, a crank inerter with a simple configuration is summarized to be effective for providing an apparent mass effect and variable negative stiffness.

능동형 제진테이블의 외란억제를 위한 강인제어기 설계에 관한 연구

This paper presents a novel method for designing an active vibration isolation system (AVIS) by robust control theory. Then, the designed system can effectively reject the impact of disturbances on the high precision fabrication table. In particular, the authors provide a robust control scheme to decrease and delete the interactions appeared in the controlled system dynamics such that the control performance is improved. For occupying an robust control performance under the disturbance attack, the H<SUB>∞</SUB> approach is introduced. Therefore, the experiment is performed to verify the effectiveness of the proposed method. In the result, the vibration suppression performance is significantly improved.

Optimal design of vibro-impact resistant fiber reinforced composite plates with polyurea coating

This paper studies on optimal design of vibro-impact resistant fiber reinforced composite plates (FRCPs) with polyurea coating. Initially, a theoretical model for the coated FRCP structures under elastic boundary conditions is proposed, through which dynamic stiffness and impact damage area are predicted. Here, based on the first-order shear deformation theory and the Rayleigh-Ritz method, the dynamic stiffness of coated FRCP structures is calculated, which is taken as an index of vibration suppression performance. Regarded as an index of anti-vibration performance, the impact damage area is identified by employing the Hertz contact law and the predefined delamination threshold load. After validation of the proposed model against a series of experiments on coated and uncoated FRCP specimens, optimization analysis is then conducted based on the Non-dominated Sorting Genetic Algorithm, where the maximum dynamic stiffness, the minimum impact damage area and structural mass are defined as objective functions, and thickness ratio, elastic modulus ratio and ply orientation angle are taken as design variables. It has been found that to possess the desired vibration and impact resistant capabilities together with maintaining lightweight property, it is recommended to choose design variables associated with the turning point of Pareto-optimal solutions as the final optimal results.