CAJ | 학술논문

使用能量法分析了两端简支复合材料纵横加筋圆柱壳的自由振动特性,从Love's理论出发,分别计算壳体面板和纵横加筋结构的应变能和动能,然后代入Lagrange方程得到频率方程.通过比较,文中的计算方法所得到的结果与文献比较吻合.采用平均法计算的结果比采用离散方法计算的结果偏小.最后还研究了壳体和加筋结构参数以及静水压力的变化对圆柱壳自由振动频率的影响.文中利用平均法来处理加筋结构,简化理论推导并减少了计算.
사용능량법분석료량단간지복합재료종횡가근원주각적자유진동특성,종Love's이론출발,분별계산각체면판화종횡가근결구적응변능화동능,연후대입Lagrange방정득도빈솔방정.통과비교,문중적계산방법소득도적결과여문헌비교문합.채용평균법계산적결과비채용리산방법계산적결과편소.최후환연구료각체화가근결구삼수이급정수압력적변화대원주각자유진동빈솔적영향.문중이용평균법래처리가근결구,간화이론추도병감소료계산.
The analytical solution for the free vibration of simply supported composite cylindrical shells with stringer and ring stiffeners is presented by using energy method.The Love's theory based on the averaging stiffener theory is used to derive the strain and the kinetic energy of the composite cylindrical shell and the orthogonal stiffeners respectively.Then according to the Lagrange equation,the frequency equations can be deduced.The natural frequencies are compared with the previously published analytical results and a good agreement is observed.The effects of shells and orthogonal stiffeners parameters such as the shell thickness-to-radius ratio, the shell length-to-radius ratio,the stiffener's height, on the frequencies are studied. In addition, the effect of hydrostatic pressure is also discussed. In this paper, the averaging method is used to dispose the stringer and ring stiffeners, which has simplified the theoretic deduction and reduced the calculation.