Exact free vibration analysis for membrane assemblies with general classical boundary conditions

Xiang, Liang; Zhao, Xueyi; Xie, Chen

doi:10.1016/j.jsv.2020.115484

Cited by 23 publications

(5 citation statements)

References 53 publications

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“…This theory provides an accurate, efficient and versatile analytical method for vibration analysis and design of rigidflexible structures. The theory is also expected to be extended to other analytical vibrational models such as membranes [72] , plates [73][74][75][76][77][78] , shells [79][80][81] , solids [82] for the vibration and buckling analysis [83,84] by using associated techniques, e.g., [85][86][87] . Besides, the analytical nature of this proposed method facilitates the consideration of uncertainties that may occur during the manufacturing and assembly procedure, such as the uncertainties in rigid bodies (mass, rotatory inertia), the beam sections [88][89][90] (Young's modulus, density, cross section and etc), their connections (relative positions) and more complex engineering problems [91] .…”

Section: Discussionmentioning

confidence: 99%

An exact dynamic stiffness method for multibody systems consisting of beams and rigid-bodies

Xiang

Sun

Banerjee

et al. 2021

Mechanical Systems and Signal Processing

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An exact dynamic stiffness method is proposed for the free vibration analysis of multi-body systems consisting of flexible beams and rigid bodies. The theory is sufficiently general in that the rigid bodies can be of any shape or size, but importantly, the theory permits connections of the rigid bodies to any number beams at any arbitrary points and oriented at any arbitrary angles. For beam members, a range of theories including the Bernoulli-Euler and Timoshenko theories are applied. The assembly procedure for the beam and rigid body properties is simplified without resorting to matrix inversion. The difficulty generally encountered in computing the problematic J0 count when applying the Wittrick-Williams algorithm for modal analysis has been overcome. Applications of different beam theories for both axial and bending vibrations have enabled the examination of the role played by rigid-body parameters on the multibody system's dynamic behaviour. Some exact benchmark results are provided and compared with published results and with finite element solutions. This research provides an exact and highly efficient analysis tool for multibody system dynamics which is for the free vibration analysis, ideally suited for optimization and inverse problems such as modal parameter identification.

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Section: Discussionmentioning

confidence: 99%

An exact dynamic stiffness method for multibody systems consisting of beams and rigid-bodies

Xiang

Sun

Banerjee

et al. 2021

Mechanical Systems and Signal Processing

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“…Different from the above methods, the dynamic stiffness method (DSM) [39] is an exact analytical method which can be applied to built-up structures subjected to any boundary conditions and has an efficient and reliable eigenvalue and response algorithm. Many researchers have developed dynamic stiffness models in the frequency domain for beams [40][41][42][43][44], membranes [45,46], plates [47][48][49], shell [50,51], multi-layered half-space [52], amongst others. Moreover, DSM can be applied to many other related problems, such as the dynamic response [53][54][55], wave propagation [56], energy flow analysis [57] and so on.…”

Section: Introductionmentioning

confidence: 99%

Dynamic stiffness method for exact longitudinal free vibration of rods and trusses using simple and advanced theories

Liu

Zhao

Zhou

et al. 2022

Applied Mathematical Modelling

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“…Moreover, they are mostly soft materials and do not have sufficient mechanical strength and stiffness to serve as bearing parts. 6 – 8 Besides, porous and fibre-based materials generate particulate emissions when used and subject to wear and tear, therefore, they should not be used in crowded spaces such as hospitals and food-processing areas where onerous environmental tolerances rightly prevail. Some experts including Gao 9 and Qingbo 10 developed various materials ( e.g .…”

Section: Introductionmentioning

confidence: 99%

Sound absorption performance of a conch-imitating cavity structure

et al. 2022

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At present, in order to solve noise pollution, many experts are studying methods to improve the noise reduction performance of sound barriers and acoustic devices. However，the development of sound-absorbing structures under external noise environments with multiple frequencies has not made significant progress.To improve the sound absorption performance (SAP) and sound insulation performance (SIP) of structures, a novel cavity-imitating sound-absorbing structure model was established based on the multi-cavity resonance structure of conches. By performing experiments with an impedance tube and finite element simulation, the internal design of, and experimental results from a conch-imitating cavity structure (CICS) were analysed. In addition, a variety of structural parameters were investigated and the application of the sound absorber was analyzed. The analytical results showed that the CICS exhibits excellent SAP at low and intermediate frequencies. The peak frequency and sound absorption bandwidth can be changed and optimised by adjusting the structural parameters. The results show that the structure can effectively improve the sound absorption and insulation performance of the sound barrier to achieve the purpose of improving the acoustic performance, and proposes a new solution for the realisation of sound absorption and noise reduction in a multi-noise environment.

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Exact free vibration analysis for membrane assemblies with general classical boundary conditions

Cited by 23 publications

References 53 publications

An exact dynamic stiffness method for multibody systems consisting of beams and rigid-bodies

An exact dynamic stiffness method for multibody systems consisting of beams and rigid-bodies

Dynamic stiffness method for exact longitudinal free vibration of rods and trusses using simple and advanced theories

Sound absorption performance of a conch-imitating cavity structure

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