CAJ | 학술논문

分析了薄壁圆柱壳在纯弯曲下的非线性自由振动。基于改良的Brazier简单理论，将圆柱壳的纯弯曲变形简化为以下两个阶段：第一阶段壳体没有弯曲，横截面由圆形变成椭圆形；第二阶段壳体是横力弯矩作用下的变截面梁。通过Brazier简单理论获得壳体的应变能，然后利用拉格朗日方程求得薄壁圆柱壳的几何非线性自由振动方程，最终得到自由振动频率，并对线性解与非线性解进行对比分析。
분석료박벽원주각재순만곡하적비선성자유진동。기우개량적Brazier간단이론，장원주각적순만곡변형간화위이하량개계단：제일계단각체몰유만곡，횡절면유원형변성타원형；제이계단각체시횡력만구작용하적변절면량。통과Brazier간단이론획득각체적응변능，연후이용랍격랑일방정구득박벽원주각적궤하비선성자유진동방정，최종득도자유진동빈솔，병대선성해여비선성해진행대비분석。
The non-linear free vibration of thin-walled cylindrical shells under pure bending is analyzed. Based on the modified Brazier simple theory, deformation of the shell subjected to pure bending can be simplified to two stages. One is that the sections of the shell become elliptic but its axis remains straight; the other is the transverse bending deformation with the shell regarded as a beam with variable elliptic sections. The strain energy of the shell can be obtained based on the Brazier simple theory, and the non-linear free vibration equation of the thin-walled cylindrical shells will be derived by the Lagrange equation. As a result, the free vibration frequency is obtained, and the linear and nonlinear solutions are compared mutually.