Low-frequency Excitations Research Articles

Low-frequency MR elastography reveals altered deep gray matter viscoelasticity in multiple sclerosis

IntroductionBrain viscoelasticity as assessed by magnetic resonance elastography (MRE) has been discussed as a promising surrogate of microstructural alterations due to neurodegenerative processes. Existing studies indicate that multiple sclerosis (MS) is associated with a global reduction in brain stiffness. However, no study to date systematically investigated the MS-related characteristics of brain viscoelasticity separately in normal-appearing white matter (NAWM), deep gray matter (DGM) and T2-hyperintense white matter (WM) lesions. Methods70 MS patients and 42 healthy volunteers underwent whole-cerebral MRE using a stimulated echo sequence (DENSE) with a low-frequency mechanical excitation at 20 Hertz. The magnitude |G∗| (Pa) and phase angle φ (rad) of the complex shear modulus G∗ were reconstructed by multifrequency dual elasto-visco (MDEV) inversion and related to structural imaging and clinical parameters. ResultsWe observed φ in the thalamus to be higher by 4.3 % in patients relative to healthy controls (1.11 ± 0.07 vs. 1.06 ± 0.07, p < 0.0001). Higher Expanded Disability Status Scale (EDSS) scores were negatively associated with φ in the basal ganglia (p = 0.01). We measured φ to be lower in MS lesions compared to surrounding NAWM (p = 0.001), which was most prominent for lesions in the temporal lobe (1.01 ± 0.22 vs. 1.06 ± 0.19, p = 0.003). Age was associated with lower values of |G∗| (p = 0.04) and φ (p = 0.004) in the thalamus of patients. No alteration in NAWM stiffness relative to WM in healthy controls was observed. ConclusionLow-frequency elastography in MS patients reveals age-independent alterations in the viscoelasticity of deep gray matter at early stages of disease.

Effects of seismic characteristics and baffle damping on liquid sloshing

The present work concentrates on liquid sloshing in tanks under real seismic excitations with various frequency contents [the ratio of peak ground acceleration (PGA) to peak ground velocity (PGV)] by a finite-difference turbulent model. The turbulence is modeled by the large eddy simulation, and the fluid–structure interaction is resolved by the Virtual Boundary Force method. Thirteen seismic records, covering the low, intermediate and high frequency contents, are adopted to excite nonlinear sloshing waves. Both sloshing wave and hydrodynamic pressure are recorded, and their correlations with the filling level, PGA, PGV and frequency content have been identified. The findings suggest that (1) the sloshing responses are in general positively correlated with the filling level; (2) the sloshing height strongly relates to PGV and frequency content, and the seismic excitation of low frequency and meantime with a larger PGV can trigger more violent sloshing waves than others; and (3) the dynamic pressure along the tank sidewall decreases from the bottom up, which is dominated by PGA at the lower part but the stronger correlation is established with PGV and frequency content at the upper part. Finally, to damp severe sloshing waves, the horizontal, vertical and coupled horizontal and vertical baffles are introduced, and their inhibiting effects are discussed. The present work may guide the design of partially filled storage tanks under seismic excitations.

Continuous Wavelet Transform based Crack Detection in a Metallic Shaft

In metals, the probability of fatigue crack initiation is significant in high load and high-speed machinery. Once the crack is initiated, it will grow with time and cause critical failure to the system. The condition based monitoring or predictive maintenance of the metallic shaft is essential before the crack reaches its critical size. The presence of excessive measurement noise increases the complexity to detect the crack; hence, there is a need of crack detection algorithm to detect the crack in the presence of excessive measurement noise. In the present work a Continuous Wavelet Transform (CWT) based algorithm is used to locate the crack in metallic shaft. Finite element analysis is used to generate the Operating Deflection Shape (ODS) of the shaft. The presence of crack in the shaft creates additional slope discontinuity in the shaft’s ODS. This slope discontinuity is more dominant near the first natural frequency. However, exciting the shaft near the first natural frequency is hazardous. In order to make the algorithm more robust the excitation nearby the natural frequency is avoided. The CWT-based algorithm is developed to locate the crack by using the ODS at very low excitation frequency.

Characteristic analysis and data comparative of linear and nonlinear low-frequency sweep in vibroseis

Abstract Low-frequency seismic data plays a crucial role in seismic data processing and seismic wave inversion. At present, there are two methods to realize the low-frequency excitation of vibrators: one is exciting low-frequency vibrators by linear sweep signals, and the other is exciting conventional vibrators by nonlinear low-frequency sweep signals. The cost of exploration using low-frequency vibroseis is high, and it is challenging to obtain sufficient low-frequency information using traditional vibrators. To this end, this paper comparatively studies the low-frequency sweep signal characteristics and data effects of low-frequency and traditional vibrators. Therefore, three kinds of linear and nonlinear low-frequency sweep signal are designed. Theoretical analysis shows that there are certain differences between linear and nonlinear signal in design methods, signal shapes, etc., but after correlation calculations the signal spectra reflecting the seismic response and the related wavelet shapes are basically consistent. Besides, the actual force signal data shows that the linear and nonlinear harmonic distortion are basically equivalent. Finally, based on the forward simulation of three sweep signals and the comparative analysis of field test data, it can be considered that the linear and nonlinear low-frequency sweep signals of vibrators have almost the same denoising ability under the basic conditions of the spectrum and wavelet. Both can achieve low-frequency excitation and obtain rich low-frequency information, and the quality of seismic data is basically the same, so they can be applied in practical production.

A plucking rotational energy harvester with tapered thickness and auxetic structures for increasing power output

The rotational energy harvester (REH) has been widely investigated as a potential method to power electronic devices in the Internet of Things. Despite the advances in the REH, there remains a challenge to sufficiently harvest energy from low frequency rotations. To address this issue, a plucking REH with tapered thickness and auxetic structures (TAPREH) is proposed in this paper. By incorporating a tapered thickness beam, auxetic structures, and frequency up-conversion method, the proposed design can improve the generated energy under low frequency excitations. The performance of the proposed design is analyzed using finite element simulation, which shows a good agreement with the corresponding experimental results. Experimental validation of the proposed design revealed a peak power output of 0.489 mW at 1.5 Hz, representing an increase of 898% compared to the conventional plucking REH without auxetic structures (PREH). Moreover, the proposed design exhibits a more uniform stress distribution compared with the existing plucking REH with uniform thickness and auxetic structures (UAPREH). Consequently, the peak power output of the proposed design is increased by 186% compared with that of UAPREH while having lower maximum stress.

Noise-less hybrid nanogenerator based on flexible WPU and siloxene composite for self-powered portable and wearable electronics

The rapid growth of portable and wearable electronics demands innovative battery solutions that are both sustainable and eco-friendly. Biomechanical energy-harvesting technology is a promising approach for operating wearable electronic devices without battery dependence. In this study, a novel noise-less hybrid nanogenerator (NLHN) was developed using 3D-printed elastic resin springs and burr-shaped water-based polyurethane (water-based PU: WPU)@Siloxene nanocomposite to effectively harvest low-frequency biomechanical energy from various human movements without generating any physical noise. By rationally integrating electromagnetic generators with triboelectric nanogenerators in a sliding mode and two contact modes, the proposed NLHN exhibited excellent output performance under random low-frequency and wide-range vibrational excitations. The WPU@Siloxene was first introduced as a highly flexible positive triboelectric layer and a noise suppressor during the sliding mode operation, while elastic resin springs significantly improved the energy harvesting performance thereby suppressing the physical noise during contact-separation. The NLHN exhibited an optimal output power of 101 mW at 6 Hz and 1.5 g acceleration. Moreover, the NLHN suppressed operating noise to only 41 dB during operation and maintained a stable output performance after 50,000 cycles. The NLHN was demonstrated to function as a continuous power source for powering portable and wearable electronics, such as smart bracelets and smartphones as well as battery-free wearable ECG monitoring systems. Conclusively, the proposed NLHN has substantial potential for silent biomechanical energy harvesting as a sustainable and eco-friendly power source for portable electronics and wearable healthcare sensing devices.

Heterogeneous-elasticity theory of instantaneous normal modes in liquids

Since decades, the concept of vibrational density of states in glasses has been mirrored in liquids by the instantaneous-normal-mode spectrum. In glasses instantaneous configurations are believed to be situated close to minima of the potential-energy hypersurface and all eigenvalues of the associated Hessian matrix are positive. In liquids this is no longer true, and modes corresponding to both positive and negative eigenvalues exist. The instantaneous-normal-mode spectrum has been numerically investigated in the past, and it has been demonstrated to bring important information on the liquid dynamics and transport properties. A systematic deeper theoretical understanding is now needed. Heterogeneous-elasticity theory has proven to be particularly successful in explaining many details of the low-frequency excitations in glasses, ranging from the thoroughly studied boson peak, to other anomalies related to the crossover between wave-like and random-matrix-like excitations. Here we present an extension of heterogeneous-elasticity theory to the liquid state, and show that the outcome of the theory agrees well to the results of extensive molecular-dynamics simulations of a model liquid at different temperatures. We find that the spectrum of eigenvalues ρ(λ)\\documentclass[12pt]{minimal} \\usepackage{amsmath} \\usepackage{wasysym} \\usepackage{amsfonts} \\usepackage{amssymb} \\usepackage{amsbsy} \\usepackage{mathrsfs} \\usepackage{upgreek} \\setlength{\\oddsidemargin}{-69pt} \\begin{document}$$\\rho (\\lambda )$$\\end{document} has a sharp maximum close to (but not at) λ=0\\documentclass[12pt]{minimal} \\usepackage{amsmath} \\usepackage{wasysym} \\usepackage{amsfonts} \\usepackage{amssymb} \\usepackage{amsbsy} \\usepackage{mathrsfs} \\usepackage{upgreek} \\setlength{\\oddsidemargin}{-69pt} \\begin{document}$$\\lambda =0$$\\end{document}, and decreases monotonically with |λ|\\documentclass[12pt]{minimal} \\usepackage{amsmath} \\usepackage{wasysym} \\usepackage{amsfonts} \\usepackage{amssymb} \\usepackage{amsbsy} \\usepackage{mathrsfs} \\usepackage{upgreek} \\setlength{\\oddsidemargin}{-69pt} \\begin{document}$$|\\lambda |$$\\end{document} on both its stable and unstable side. We show that the spectral shape strongly depends on temperature, being symmetric at high temperatures and becoming rather asymmetric at low temperatures, close to the dynamical critical temperature. Most importantly, we demonstrate that the theory naturally reproduces a surprising phenomenon, a zero-energy spectral singularity with a cusp-like character developing in the vibrational spectra upon cooling. This feature, known from a few previous numerical studies, has been generally overlooked in the past due to a misleading representation of the data. We provide a thorough analysis of this issue, based on both very accurate predictions of our theory, and computational studies of model liquid systems with extended size.

Modeling and Analysis of a Large Stroke Tristable Vibratory Energy Harvester

In order to magnify the responding frequency band of the energy collector under lower excitation, this paper constructs a tristable structure using four inclined springs, achieving a larger stroke. On this basis, a tristable electromagnetic energy harvester is proposed. The dynamic formula is solved by the numerical integration method, and the dynamic characteristics and current output characteristics of the system are analyzed. At the same time, for output power, the ratio of stiffness coefficients of the system spring was researched. It was found when the ratio of stiffness coefficients of the spring was 2/3, it would cause the potential energy function curve to be asymmetric. Compared to a symmetric system with a ratio fixed 1 of stiffness coefficients of the spring, the average output power increased by about one tenth. The research results indicate the proposed tristable energy collector can achieve energy collection under low amplitude and low-frequency excitation.

Study of Damping of Bare and Encased Steel I-Beams Using the Thermoelastic Model

Steel I-beams are a fundamental structural component in civil construction. They are one of the main load-bearing components in a building that must withstand both the structure and any incoming external perturbations, such as seismic events. To avoid damage to the structure, the building must be designed to dissipate the maximum amount of energy possible. One way energy can be dissipated is through internal or structural damping, of which thermoelasticity is one of the causes, especially in low-frequency harmonic excitations. The main goal of this study is to analyze the amount of damping in an I-beam generated by thermoelasticity and when encased in a Portland cement concrete layer, using a Finite Element model. It was found that, due to the geometry of the I-Beam, the damping coefficient as a function of frequency has two local maxima, as opposed to the traditional single maximum in rectangular beams. Encasing an I-beam in a concrete layer decreases the overall damping. While the extra coating protects the beam, the reduction in damping leads to a lower energy dissipation rate and higher vibration amplitudes.

Chaotic bursting patterns induced by transient chaos in a smooth three-dimensional dynamic model

This paper aims to report the transient-chaos-induced chaotic bursting oscillations in a smooth three-dimensional dynamic model with a low-frequency excitation when an order gap exists between the excitation frequency and the natural frequency. Based on the Nosé-Hoover system, a periodically driven nonlinear system is modelled, in which the transient chaos induced by boundary crisis route can be observed. Through theoretical analysis and numerical simulation, the stability conditions of the equilibrium point and six transient-chaos-induced chaotic bifurcation structures are obtained. Six typical cases in which different routes of the trajectories pass through the transient chaos areas, leading to different patterns of bursting oscillations. It can be found that not only the bifurcation structures but also the bifurcation delay behavior can influence the bursting patterns. In addition, in the transient chaos areas, the bifurcation delay behavior can result in the disappearance of the periodic signals in the small periodic windows.

A piezoelectric-electromagnetic hybrid energy harvester for low-frequency wave motion and self-sensing wave environment monitoring

Techniques for harvesting energy and environmental monitoring are crucial for the development and application of wave energy. Here, we propose a piezoelectric-electromagnetic hybrid energy harvester (PEHEH) for low-frequency wave motion and self-sensing wave environment monitoring. The PEHEH consists of an electromagnetic energy harvester (EMH) and two distinct types of piezoelectric energy harvesters (PEH-1 and PEH-2). The combination of piezoelectric power generation and electromagnetic power generation can effectively harvest low-frequency wave energy. Using the L-shaped piezoelectric cantilever can make it produce large deformation under low-frequency excitation to obtain better power output. The movement of the spherical magnet in the channel tube changes the magnetic flux in the coil to generate electricity. The PEHEH is designed to float on the surface of the water to harvest wave energy in multiple directions. According to the experimental findings, the PEHEH can obtain a power output of 32.58 mW with the optimal combination of parameters. The PEHEH can supply power to the LEDs and enable them to emit light properly. Meanwhile, using the PEH-1 and PEH-2 as the power supply part and the EMH as the self-sensing part, the PEHEH can realize the monitoring of wave amplitude in the actual wave environment. The above results verified that PEHEH has the functions of self-powering and self-sensing. This research provides a novel technical solution for the development and utilization of wave energy.

Degradation of diazinon by dielectric barrier discharge plasma

Pesticides are chemical compounds widely used in crop pest control, ensuring high productivity and product quality control. However, pesticides are toxic and can be bioaccumulative, and their excessive use causes environmental and health impacts. In this study, the potential of atmospheric cold plasma to degrade diazinon present in water was investigated. For the degradation process, a dielectric barrier discharge (DBD) plasma system was used to process diazinon at a varying voltage (10, 15, and 20 kV), excitation frequency (200, 400, 600, 800, and 1000 Hz), and exposure time (10, 20, and 30 min). The concentration of diazinon and the identification of the by-products were analyzed by gas chromatography coupled to mass spectrum (GC-MS). DBD plasma processing efficiently degraded diazinon, reaching a maximum degradation of 9.44 ± 0.09 mg/L, sufficient to bring diazinon-contaminated waters to safe levels. Analysis of variance indicated that increasing voltage and treatment time and low plasma excitation frequencies increased diazinon degradation. Two parallel degradation routes were proposed for diazinon degradation by cold plasma consisting of an oxidative desulphurization route and a hydrolytic route followed by a ring-opening reaction.

A contra-rotating free-spinning energy harvester

In the field of energy harvesting from motions or vibrations, enhancing the performance of a harvester under ultralow frequency and intermittent input sources remains challenging. To address this issue, this paper presents an electromagnetic energy harvester design featuring a novel design and compact arrangement of dual one-way bearings in the magnet and coil layers. The unique one-way bearing design is capable of significantly enhancing the energy harvesting performance by eliminating springs to reduce friction for contra-rotating high-speed free-spinning motions. The devised harvester is characterised under various controlled low-frequency excitation conditions, yielding a maximum average power of 8 mW at the excitation frequency of 1 Hz. A finite element simulation is then performed to validate the performance of the energy harvester. Furthermore, with a minimized form factor, the energy harvesting capability of the proposed harvester in real-life applications of powering electronic devices is demonstrated. The innovative approach from this work holds substantial promise for high-performance energy harvesting from reciprocating motions in ultralow frequency scenarios.

Research on performance of solid-liquid triboelectric nanogenerators based on anti-rolling tank

In this article, we present an anti-rolling tank solid-liquid triboelectric nanogenerators (ART-SL-TENGs) harvesting dissipated kinetic energy from the ocean in ship stabilizer to tackle the electric energy replenishment problem. The harvester mainly consists of several L-damping plates and U-tank equipped with TENGs. This paper investigates the dynamic processes of water within the tank and the potential distribution of TENGs using parameterized modeling, simulations, and experiments. The effects of external excitation, tank's initial water level, and TENG layout on the performance of ART-SL-TENGs are analyzed. During the roll motion of the tank, the water hits the outer side wall and rebounds towards the inner side wall upon collision. Due to a larger water-TENG contact area, the outer side wall generates more charges transfer than the inner side wall, resulting in a higher open-circuit voltage and a higher power. Under low-frequency excitation, the dynamic processes of water make it easier to have sufficient contact with the TENGs, exchange charges, and generate a higher voltage. The results show that the harvester generates maximum average output voltage of about 39.26 V and instantaneous power 6.49 μW under the excitation of 0.7 Hz and 90 mm amplitude at 30 mm initial water level. The ART-SL-TENGs take into account both anti-rolling characteristics and the electric energy replenishment, providing significantly a reference for the design of self-powered marine equipment in ship stabilizer.

Nonlinear dynamics of an aquaculture cage array under oblique wave attack

Nonlinear interactions of an oblique wave with an aquaculture cage array containing 16 net cages in a 2 × 8 configuration is studied in this paper. Our objective is to understand the nonlinear dynamics of the cage array induced by different hydrodynamic forcing mechanisms under oblique wave attack. To this end, we use an efficient numerical scheme with a robust implicit finite-element method for the nonlinear wave-structure interactions. The nonlinear and non-stationary data is decomposed by the empirical mode decomposition method, allowing for identification of different hydrodynamic forcing mechanisms. Then, physical model tests of a cage array in the 1 × 3 configuration under the low-frequency wave are conducted to verify the present numerical model. The harmonic responses of the surge and heave between numerical simulations and experimental tests are close to each other; indicating that the present numerical model is feasible to predict the dynamic response of the cage array in waves. The results highlight that the flexible cage with lower elastic modulus shows larger excursion in the weather side of the cage array, and the flexible cage has a better ability to absorb energy from incident waves. However, the elastic modulus of the floating collar has little effect on the surge and heave motions. Under the oblique wave attack, the nonlinear responses of a representative mooring are identified to be wave-frequency and low-frequency driven, and the nonlinear sway responses are found to be dominant by low-frequency excitations.

Time–Frequency Analysis of Nonlinear Dynamics of an Aquaculture Cage Array in Waves

The nonlinear dynamic response of an aquaculture cage array caused by wave-frequency and low-frequency excitations coupled with the nonlinearity of the mooring and the netting system is a complicated problem. So far, this problem still has not been completely understood. To address this issue, we consider the nonlinear interaction of an extreme wave with an aquaculture cage array containing 16 net cages in a 2 × 8 configuration. This paper aims to provide insight into understanding the nonlinear dynamics of an aquaculture cage array via time–frequency analysis. Time-domain analysis shows that the cage array exhibits weak nonlinearity in the surge and heave motions. On the contrary, there is strong nonlinearity in the sway motion under 45° and 90° wave attacks. Aside from this, the frequency-domain analysis indicates that nonlinearities exist in all three of these different responses (surge/sway/heave). Particularly, the low-frequency component has a predominant effect on the nonlinearity of the sway motion under 45° and 90° wave attacks. With this understanding, future aquaculture fish farms that contain multiple cages (i.e., cage array) can be potentially designed to withstand severe conditions in the open ocean.

Investigation of Harmonic Response in Non-Premixed Swirling Combustion to Low-Frequency Acoustic Excitations

The propagation mechanism of flow disturbance under acoustic excitations plays a crucial role in thermoacoustic instability, especially when considering the effect of non-premixed combustion on heat release due to reactant mixing and diffusion. This relationship leads to a complex coupling between the spatial distribution of the equivalence ratio and the propagation mechanism of flow disturbance. In the present study, the response of a methane-air non-premixed swirling flame to low-frequency acoustic excitations was investigated experimentally. By applying Proper Orthogonal Decomposition (POD) analysis to CH* chemiluminescence images, the harmonic flame response was revealed. Large Eddy Simulation (LES) was utilized to analyze the correlation between the vortex motion within the shear layers and the harmonic response under non-reacting conditions at excitation frequencies of 20 Hz, 50 Hz, and 150 Hz. The results showed that the harmonic flame response was mainly due to the harmonic velocity pulsations within the shear layers. The acoustically induced vortices within the shear layer exhibited motion patterns susceptible to harmonic interference, with spatial distribution characteristics closely related to the oscillation modes of the non-premixed combustion.

Structural stiffness and equivalent viscous damping in a supercritical carbon dioxide lubricated hybrid journal bearing under hydrostatic status

PurposeThe purpose of this paper is to propose a type of hybrid bearing lubricated with supercritical carbon dioxide (S-CO2) and to investigate the stiffness and damping characteristics of the bearing under hydrostatic status.Design/methodology/approachEstablished a test rig for radial bearings lubricated with S-CO2 and used it to measure the dynamic coefficients by recording the relative and absolute displacements of bearing. Test bearing is mounted on a nonrotating, stiff shaft. Using static loading experiments to obtain structural stiffness. The dynamic coefficient regularities of the test bearing under hydrostatic status were revealed through dynamic loading experiments.FindingsExperiment results indicate that test bearing displayed increased stiffness when subjected to high excitation frequencies and low excitation forces, as well as elevated damping when exposed to low excitation frequencies and low excitation forces. Additionally, an increase in either environmental pressure or hydrostatic recess pressure can elevate the dynamic coefficient. The effect of temperature on the dynamic coefficient is more pronounced around the critical temperature of S-CO2.Originality/valueDesigned a type of hybrid bearing for use in the Brayton cycle that is lubricated with S-CO2 and uses hydrostatic lubrication during start-stop and hydrodynamic lubrication during high-speed operation. The hybrid bearing reduces the wear and friction power consumption of gas bearing. However, few experimental analyses have been conducted by researchers in this field.

Analysis of Dynamic Characteristics of Tristable Exponential Section of Piezoelectric Energy Harvester

Variable-cross-section beams have better mass and strength distribution compared with constant cross-section beams, which can optimize the harvesting power of piezoelectric vibration energy harvesters, which are widely used in self-supplied and low-power electronic devices, providing more convenience and innovation for the development of micromechanical intelligence and portable mobile devices. This paper proposes a piezoelectric energy harvester with a tristable-exponential-decay cross section, which optimizes the strain distribution of the cantilever beam through exponential decay changes to improve the harvesting efficiency of the harvester in low-frequency environments. First, the nonlinear magnetic force is obtained based on the magnetic dipole, and the dynamic model is established by using the Euler–Bernoulli beam theory and Lagrangian equation. The influence of the structural parameters of the harvester on the system dynamics and output characteristics is analyzed in the two dimensions of time and frequency, and the influence of the exponential decay coefficient on the system dynamic response and output power is deeply studied. The research shows that the exponential decay section can reduce the first natural frequency of the cantilever beam; by changing the amplitude, frequency, d and dg of the excitation acceleration, the switching of the monostable, tristable and bistable states of the system can be realized. With a decrease in the exponential decay coefficient, under a low-frequency excitation of 0–7 Hz, the output power of the cantilever beam per unit volume is significantly improved, and under a 4 Hz low-frequency excitation, the acquisition output power per unit volume of the cantilever beam is increased by 7 times, thus realizing low-frequency, high-efficiency energy harvesting.

Bursting oscillations of a geometrical nonlinear system with a third-order catastrophe point

Bursting oscillations of a geometrical nonlinear system with a third-order catastrophe point are investigated. The third-order catastrophe point is a high order cusp point at which the geometrical nonlinear system can achieve the third-order quasi-zero stiffness for vibration isolation. The symmetry of triple-wells, double-wells and single-wells near the catastrophe point is broken due to the introduction of a slow-varying parameter, which results in the appearance of asymmetrical triple-wells, double-wells and single wells. Complex evolution dynamics of both the non-autonomous system and the generalized autonomous system are studied through a natural connection that treats the low frequency excitation as a slow-varying parameter. Bursting oscillations are found and the mechanisms are revealed through the analysis of asymmetrical global dynamics. The relations between the isolation performance and bursting oscillations are studied through the coordinates corresponding to the force transmissibility. Results showed that both the increase of geometrical parameters and the introduction of the nonlinear damping with multiple roots could result in the appearance of more quiescent states. A novel step-up curve of inter spike intervals for quiescent states is found which corresponds to the fish-scale curve of inter spike intervals for spiking states. A smaller excitation amplitude can be used to generate the inter spike intervals of spiking states which means that vibrations can be observed earlier with the increase of the small stiffness and small restoring force regions near the origin. Low transmissibility can be achieved when the system trajectory reaches its amplitude at the quiescent states for any situation near the third-order catastrophe point.