Vibroacoustic analysis of thermo-elastic laminated composite sandwich curved panel: a higher-order FEM–BEM approach

Sharma, Nitin; Mahapatra, Trupti Ranjan; Panda, Sidhartha

doi:10.1007/s10999-018-9426-5

Cited by 20 publications

(7 citation statements)

References 44 publications

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“…where the matrix P, T mn , and W are provided in Appendix 1. The coefficient matrix T mn can be provided in Appendix 2 for different boundary conditions by substituting equations (18) to (21).…”

Section: Dynamic Behavior Calculationmentioning

confidence: 99%

“…Sharma et al. 21 employed a higher-order FEM–BEM method to analyze the free vibration of thermo-elastic-laminated composite sandwich panel at a high temperature environment. Numerical methods were proved to be an efficient and precise method for transient vibration analysis; however, spurious numerical oscillations may result in numerical errors due to the inappropriate discretization of time integration and spatial derivation.…”

Section: Introductionmentioning

confidence: 99%

“…Also, employing the finite element algorithm, Zaman et al 20 evaluated the transient behaviors of a thick plate and analyzed the variation of dynamic response considering the effects of various parameters. Sharma et al 21 employed a higher-order FEM-BEM method to analyze the free vibration of thermo-elastic-laminated composite sandwich panel at a high temperature environment. Numerical methods were proved to be an efficient and precise method for transient vibration analysis; however, spurious numerical oscillations may result in numerical errors due to the inappropriate discretization of time integration and spatial derivation.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

The thermal and Pasternak foundation effect on the transient behaviors of the rectangular plate using a novel semi-analytical method

Liang

Cao

Deng

et al. 2020

Journal of Low Frequency Noise, Vibration and Active Control

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This paper carries out the transient behaviors of a thin rectangular plate considering different boundary conditions, Pasternak foundation, and thermal environment simultaneously. The governing differential equations of the system are derived by employing the Kirchhoff’s classical plate theory and Hamilton’s principle. This paper proposes a novel semi-analytical methodology, which integrates Laplace transform, the one-dimensional differential quadrature method, Fourier series expansion technique, and Laplace numerical inversion to analyze plates’ transient response. The proposed method can obtain dynamic response of the rectangular efficiently and accurately, which fills the gap of transient behaviors in semi-analytical method. A comparison between semi-analytical results and numerical solutions from the publication on this subject is presented to verify the method. Specifically, the results also agree well with the data generated by the Navier’s method. The convergence tests indicate that the semi-analytical algorithm is a quick convergence method. The effects of various variables, such as geometry, boundary conditions, temperature, and the coefficients of the Pasternak foundation, are further studied. The parametric studies show that geometry and temperature change are significant factors that affect the dynamic response of the plate.

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Section: Dynamic Behavior Calculationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

The thermal and Pasternak foundation effect on the transient behaviors of the rectangular plate using a novel semi-analytical method

Liang

Cao

Deng

et al. 2020

Journal of Low Frequency Noise, Vibration and Active Control

View full text Add to dashboard Cite

show abstract

“…Owing to these benefits, BEM is particularly suitable for predicting sound propagation. In addition, many researchers have employed a coupled FEM/BEM scheme to analyze acoustic problems 5–7 …”

Section: Introductionmentioning

confidence: 99%

“…Thus, many researchers have addressed curved shells in their studies. 5,31,32 Zhai et al 40 have demonstrated that the needed number of curved shell elements is less than that of flat shell elements when simulating curved shell structures by using FEM. Therefore, using curved shell elements to discretize curved shell structures can reduce the number of design variables in topology optimization to a certain extent.…”

Section: Introductionmentioning

confidence: 99%

Topology optimization of bi‐material curved shell structures for minimizing time‐domain sound radiation

Zheng

Zhao

Shang

et al. 2022

Numerical Meth Engineering

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So far, the research on topology optimization against noise has mainly addressed frequency-domain problems, while time-domain analysis is also widely used in practical engineering. Nonetheless, the topology optimization work on the latter was rarely reported due to its complexity. This article presents a new topology optimization scheme of bi-material curved shell structure to reduce the time-domain noise generated by transient vibration. A finite element formulation for an eight-node curved shell element is presented. The Newmark integral method is employed to calculate transient responses, and the obtained results are input into the time-domain boundary element method to predict transient sound pressure. In the optimization model, the volumetric densities of material in a bi-material interpolation model constructed by the solid isotropic material with penalization model are chosen as the design variables; the time integral of the squared sound pressure on structural surfaces or prescribed reference points in acoustic medium over a specified time interval of interest is taken as the objective function; and the constraint on material volume is considered. A volume-preserving Heaviside penalization is introduced to suppress gray elements. Furthermore, the calculation of time-domain sound radiation sensitivity is transformed into the following two processes: (a) the derivation of transient response based on the Newmark integral method; (b) the derivation of transient sound pressure based on the discrete time-domain boundary integral equation. Numerical examples demonstrate the validity of the approach proposed in this article. The influences of volume-preserving Heaviside penalization, volume constraint, loading position and form, and selection of objective function on the optimal design are discussed.

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Vibro-acoustic Behavior of GFRP Curved Panel Under Non-uniform Thermal Environment

Meesala,

Chaupal,

Rajendran

2023

Springer Proceedings in Materials

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Vibroacoustic analysis of thermo-elastic laminated composite sandwich curved panel: a higher-order FEM–BEM approach

Cited by 20 publications

References 44 publications

The thermal and Pasternak foundation effect on the transient behaviors of the rectangular plate using a novel semi-analytical method

The thermal and Pasternak foundation effect on the transient behaviors of the rectangular plate using a novel semi-analytical method

Topology optimization of bi‐material curved shell structures for minimizing time‐domain sound radiation

Vibro-acoustic Behavior of GFRP Curved Panel Under Non-uniform Thermal Environment

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