Abstract

This paper presents the problem of nonlinear aero-thermo-elastic response of cracked plate. Bending equations of two-dimensional simply supported cracked plate subjected to supersonic flow and thermal effect is derived based on classical plate theory (CPT) and Von Kármán nonlinear relations. Linear piston theory is utilized to evaluate the aerodynamic pressure with uniform temperature variations. By applying Galerkin's method and Runge-Kutta scheme, the equations are solved. The effects of parameters such as flow condition, crack dimension, temperature changes, plate aspect ratio, mass ratio, static pressure on the plate stability, flutter point and limit cycle oscillation (LCO) of the plate are examined.

摘要

本文提出了裂纹板的非线性气动热弹性响应问题。基于经典板理论（CPT）和Von Kármán非线性关系推导了超声速流动和热效应作用下二维简支裂纹板的弯曲方程。线性活塞理论用于评估具有均匀温度变化的气动压力。通过应用Galerkin 的方法和Runge-Kutta 方案，求解方程。考察了流动条件、裂纹尺寸、温度变化、板长宽比、质量比、静压等参数对板稳定性、颤振点和板极限循环振荡(LCO)的影响。