Journal ArticleDOI
Nonlinear acoustic response analysis of plates using the finite element method.
Reads0
Chats0
TLDR
In this paper, a perturbation technique is used to perform the nonlinear response analysis of plate structures under random acoustic excitation, which is made of a conforming plate element together with a nonlinear plate stiffness element which is dependent on the modal response of the structure.Abstract:
The paper describes a perturbation technique to perform the nonlinear response analysis of plate structures under random acoustic excitation. In the analysis, use is made of a conforming plate element together with a nonlinear plate stiffness element which is dependent on the modal response of the structure. Applying these elements and the associated consistent mass matrices, the equivalent linear eigen matrix of the complete plate is organized. The eigen solution and the following modal spectral computation completes the iteration cycle. The iteration process is repeated until apparent convergent data are acquired. A flow diagram and a numerical example are included which illustrate the application of the method to practical problems.read more
Citations
More filters
Journal ArticleDOI
Numerical-Perturbation Method for the Nonlinear Analysis of Structural Vibrations
TL;DR: In this paper, a numerical perturbation method is proposed for the determination of the nonlinear forced response of structural elements when modal interactions take place due to the complicated nature of the response.
Journal ArticleDOI
Modal analysis for random vibration of hysteretic frames
TL;DR: In this paper, a modal transformation is used to reduce the number of active degrees of freedom of hysteretic frames under zero mean or non-zero mean random excitation.
Proceedings ArticleDOI
Finite element nonlinear random response of composite plates to acoustic and thermal loads applied simultaneously
Roger Chen,Chuh Mei +1 more
Proceedings ArticleDOI
A finite element large deflection random response analysis of beams and plates subjected to acoustic loading
Chuh Mei,C. K. Chiang +1 more
TL;DR: In this article, a finite element formulation for the analysis of beams and rectangular plates undergoing large deflections subjected to Gaussian white noise excitations is presented, where single-mode response is assumed in the present formulation.
Journal ArticleDOI
Thin-walled structure acoustic excitation response and fatigue life investigation in high temperature
TL;DR: In this article, the effect of the load on the first-order thermal modal frequencies and fatigue resistance of a Haynes alloy 188 thin-walled structure with the rapidly alternate heating and cooling was investigated for various work conditions.
References
More filters
Book
The algebraic eigenvalue problem
TL;DR: Theoretical background Perturbation theory Error analysis Solution of linear algebraic equations Hermitian matrices Reduction of a general matrix to condensed form Eigenvalues of matrices of condensed forms The LR and QR algorithms Iterative methods Bibliography.
Journal ArticleDOI
Equivalent Linearization Techniques
TL;DR: In this paper, the method of equivalent linearization of Kryloff and Bogoliubov is generalized to the case of nonlinear dynamic systems with random excitation, applied to a variety of problems, and the results are compared with exact solutions of the Fokker-Planck equation.
Journal ArticleDOI
The TUBA Family of Plate Elements for the Matrix Displacement Method
TL;DR: In this paper, the analytical construction of displacement functions for plate elements subject to bending was discussed at some length in ref. 1. Attention was drawn to both triangular and quadrilateral elements available in the ASKA system, which satisfy either all kinematic compatibility conditions or are deficient in the continuity of the gradient normal to the edge.