Thermoacoustic Random Response of Shape Memory Alloy Hybrid Composite Plates

Abstract

Random dynamic response and thermal buckling of a shape memory alloy hybrid composite plate subjected to combined thermal and random acoustic loads are investigated. A nonlinear finite element model was developed using the first-order shear-deformable plate theory, von Kármán strain-displacement relations, and the principle of virtual work. The thermal load was assumed to be a steady-state constant-temperature distribution, whereas the acoustic excitation was modeled as a white-Gaussian pressure with zero mean and uniform magnitude over the plate surface. To account for the nonlinear temperature dependence of material properties, the thermal strain was stated as an integral quantity of the thermal expansion coefficient with respect to temperature. The static nonlinear equations of motion are solved by the Newton-Raphson iteration technique to obtain the thermal postbuckling deflection, whereas the dynamic nonlinear equations of motion were transformed to modal coordinates and solved by employing Newmark implicit integration scheme. Finally, the critical buckling temperatures, static thermal postbuckling deflections, and random dynamic responses of a shape memory alloy hybrid-composite-plate panel are presented, illustrating the effect of shape memory alloy fiber embedding, sound pressure level, and temperature rise on the panel response.

Thermo-acoustic random response of temperature-dependent functionally graded material panels

“…This article extends the formulation presented by Ibrahim et al [8], to make it able to handle non-symmetric materials such as FGMs. This is achieved by adding the effect of the bending-extension coupling, i.e., by assuming that the bending-extension coupling matrix [B] = 0.…”

“…The temperature-dependence of material properties was not taken into consideration in their formulation. Ibrahim et al [8] provided a time-domain finite element formulation to investigate the nonlinear random response of composite plates impregnated with pre-strained SMA fibers subject to thermal and random acoustic loads.…”

Nonlinear Vibration Analyses of Stiffened Composite Panels under Combined Thermal and Random Acoustic Loads

“…선행 연구 [5] 는 패널 구조의 회전 관성과 횡방향 전단 변형의 영향을 고려하지 않은 얇은 고전 평판 이론(classical plate theory)을 이용하였으며 von Karman 변위-변형률 관계식을 사용하였다. 열-음향의 복합 하중이 작용할 때, 열 하중과 랜덤 음향 하중의 크기를 변경하며 시간 영역에서의 비선형 진동 응답 해석과 피로 수명 연구를 경사 기능 재료(Functionally Graded Material, FGM) 패널에 대하여 수행하였다 [6] .…”

Aero-Thermo-Mechanical Characteristics of Shape Memory Alloy Hybrid Composite Panels With Geometric Imperfection

“…Moreover, a frequency domain solution for predicting panel flutter boundaries at elevated temperatures was presented. Ibrahim et al [20] investigated the nonlinear random response of moderately thick composite plates impregnated with pre-strained shape memory alloy fibers under combined thermal and random acoustic loads. This paper is an extension of the work presented in [19] and [20] by including the influence of geometrical imperfections in the formulation.…”

“…Ibrahim et al [20] investigated the nonlinear random response of moderately thick composite plates impregnated with pre-strained shape memory alloy fibers under combined thermal and random acoustic loads. This paper is an extension of the work presented in [19] and [20] by including the influence of geometrical imperfections in the formulation. In this work, a new nonlinear finite element model is presented for the aero-thermal buckling and free vibration response of an imperfect shape memory alloy hybrid composite (SMAHC) panel under combined thermal and aerodynamic loads.…”