CAJ | 학술논문

针对现有研究在正交各向异性圆柱壳振动特性边界条件方面的局限性，采用改进的傅里叶级数方法对正交各向异性圆柱壳3个方向上的振动位移场函数进行构造，基于能量原理和瑞利-里兹步骤得到正交各向异性圆柱壳自由振动系统特征矩阵方程。结果表明，本方法所得正交各向异性圆柱壳结构模态参数与相关文献数据吻合良好，验证了本模型的正确性与可靠性。同现有方法相比，本模型能够在无须重新理论推导和计算程序的重新编写而实现各种边界条件设置，为研究边界条件对正交各向异性圆柱壳结构振动行为的影响提供一种可靠而高效的分析手段。
침대현유연구재정교각향이성원주각진동특성변계조건방면적국한성，채용개진적부리협급수방법대정교각향이성원주각3개방향상적진동위이장함수진행구조，기우능량원리화서리-리자보취득도정교각향이성원주각자유진동계통특정구진방정。결과표명，본방법소득정교각향이성원주각결구모태삼수여상관문헌수거문합량호，험증료본모형적정학성여가고성。동현유방법상비，본모형능구재무수중신이론추도화계산정서적중신편사이실현각충변계조건설치，위연구변계조건대정교각향이성원주각결구진동행위적영향제공일충가고이고효적분석수단。
Motivated by the limitation of current studies on the dynamic characteristics of the orthotropic cylindrical shell, in this paper, an improved Fourier series method is employed to expand the three direction vibration dis-placement functions of the orthotropic cylindrical shell structure. Based on the energy principles, in combination with the Rayleigh-Ritz procedure, the system characteristic matrix function is obtained. The numerical results show that the model in this paper agrees very well with the data calculated from the other approach mentioned in the open literature, and that the correctness and reliability of this model has been validated. Compared with the other ap-proach, there is no need to re-formulate the theoretical equations or to re-write the codes for the modification of the boundary condition. This work provides a reliable and effective analysis tool for studying effects of the boundary con-dition on the dynamic behavior of orthotropic cylindrical shell structures.