Vibration behaviors of a box-type structure built up by plates and energy transmission through the structure

Chen, Yuehua; Jin, Guoyong; Zhu, Ming; Liu, Zhigang; Du, Jingtao; Li, Wen L.

doi:10.1016/j.jsv.2011.10.002

Cited by 76 publications

(30 citation statements)

References 24 publications

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“…It is worthwhile to note that the interest of researches in this procedure is increasing due to its great simplicity and versatility. Therefore, this simple and direct procedure can be applied to a large number of structures, that is, beams [60][61][62][63], plates [5,[64][65][66][67][68][69][70][71][72][73][74][75][76], shells [77][78][79][80][81][82][83], coupled structures [84][85][86][87][88], and so on. In addition, compared with other methods, the present method can obtain accurate results and circumvent the difficulties of programming complex algorithms for the computer as well as the excessive use of storage and computer time.…”

Section: Introductionmentioning

confidence: 99%

Benchmark Solution for Free Vibration of Moderately Thick Functionally Graded Sandwich Sector Plates on Two-Parameter Elastic Foundation with General Boundary Conditions

Pang

Wang

et al. 2017

Shock and Vibration

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The free vibration analysis of moderately thick functionally graded (FG) sector plates resting on two-parameter elastic foundation with general boundary conditions is presented via Fourier-Ritz method, which is composed of the modified Fourier series approach and the Ritz procedure. The material properties are assumed to vary continuously along the thickness according to the powerlaw distribution. The bilayered and single-layered functionally graded sector plates are obtained as the special cases of sandwich plates. The first-order shear deformation theory (FSDT) is adopted to construct the theoretical model. Under current framework, regardless of boundary conditions, each displacement and each rotation of plates is represented by the modified Fourier series consisting of a standard Fourier cosine series and several closed-form auxiliary functions introduced to ensure and accelerate the convergence of the series representation. Then, the accurate solutions are obtained by using the Ritz procedure based on the energy function of sector plates. The present method shows good convergence, reliability, and accuracy by comprehensive investigation with some selected classical boundary conditions. Numerous new vibration results for moderately thick FG sandwich sector plates are provided. The effects of the elastic restraint parameters and so forth on free vibration characteristic of sector plates are presented.

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Section: Introductionmentioning

confidence: 99%

Benchmark Solution for Free Vibration of Moderately Thick Functionally Graded Sandwich Sector Plates on Two-Parameter Elastic Foundation with General Boundary Conditions

Pang

Wang

et al. 2017

Shock and Vibration

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“…The improved Fourier series was proposed in 2000 by Li [47][48][49] to solve the free vibrations of beams with general boundary conditions. Later, the method has been fast extended by Du [50][51][52][53], Jin [54][55][56][57][58], Wang [59][60][61][62][63][64][65][66][67][68][69][70][71][72][73][74][75][76][77]et al in the last ten years. Thus, as a powerful method, the reasonable and superiority has been widely validated by comparing with other methods.…”

Section: Introductionmentioning

confidence: 99%

Free vibration of functionally graded parabolic and circular panels with general boundary conditions

Zhang

Shi

Wang

et al. 2017

Curved and Layered Structures

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Abstract:The purpose of this content is to investigate the free vibration of functionally graded parabolic and circular panels with general boundary conditions by using the Fourier-Ritz method. The first-order shear deformation theory is adopted to consider the effects of the transverse shear and rotary inertia of the panel structures. The functionally graded panel structures consist of ceramic and metal which are assumed to vary continuously through the thickness according to the power-law distribution, and two types of power-law distributions are considered for the ceramic volume fraction. The improved Fourier series method is applied to construct the new admissible function of the panels to surmount the weakness of the relevant discontinuities with the original displacement and its derivatives at the boundaries while using the traditional Fourier series method. The boundary spring technique is adopted to simulate the general boundary condition. The unknown coefficients appearing in the admissible function are determined by using the Ritz procedure based on the energy functional of the panels. The numerical results show the present method has good convergence, reliability and accuracy. Some new results for functionally graded parabolic and circular panels with different material distributions and boundary conditions are provided, which may serve as benchmark solutions.

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“…Also, utilizing the FE method, Khun et al [24] performed SI analysis of plates with multiple discrete and distributed spring-dashpot systems. The energy transmission through a box-type structure built up by plates is considered by Chen et al [25], while Roozen at al. [26] used measured data of kinematic quantities to compute structural intensity and its irrotational part in plate-like structures.…”

Section: Introductionmentioning

confidence: 99%

Structural intensity analysis of stepped thickness rectangular plates utilizing the finite element method

Cho

Choi²,

Kim³

et al. 2016

Thin-Walled Structures

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Vibration behaviors of a box-type structure built up by plates and energy transmission through the structure

Cited by 76 publications

References 24 publications

Benchmark Solution for Free Vibration of Moderately Thick Functionally Graded Sandwich Sector Plates on Two-Parameter Elastic Foundation with General Boundary Conditions

Benchmark Solution for Free Vibration of Moderately Thick Functionally Graded Sandwich Sector Plates on Two-Parameter Elastic Foundation with General Boundary Conditions

Free vibration of functionally graded parabolic and circular panels with general boundary conditions

Structural intensity analysis of stepped thickness rectangular plates utilizing the finite element method

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