CAJ | 학술논문

为计算不同边界条件下旋转薄壁短圆柱壳的强迫振动响应特性，在总结前人所提出的两端简支边界条件下旋转有限长圆柱壳自由振动和谐波激励响应计算方法基础上，基于梁函数法，在位移函数的轴向引入含有不同边界条件特征的模态函数，从而得以求解。基于Love壳体理论，利用Hamilton原理建立了旋转薄壁短圆柱壳的振动微分方程，并利用Galerkin法进行离散简化为常微分方程。以简谐激励为例给出了一种以广义坐标形式表示的响应求解方法，由此求解出不同边界约束的旋转薄壁短圆柱壳的响应问题。通过试验对所提出响应计算方法的正确性进行了验证。
위계산불동변계조건하선전박벽단원주각적강박진동향응특성，재총결전인소제출적량단간지변계조건하선전유한장원주각자유진동화해파격려향응계산방법기출상，기우량함수법，재위이함수적축향인입함유불동변계조건특정적모태함수，종이득이구해。기우Love각체이론，이용Hamilton원리건립료선전박벽단원주각적진동미분방정，병이용Galerkin법진행리산간화위상미분방정。이간해격려위례급출료일충이엄의좌표형식표시적향응구해방법，유차구해출불동변계약속적선전박벽단원주각적향응문제。통과시험대소제출향응계산방법적정학성진행료험증。
In order to solve the forced vibration response of rotating short thin walled cylindrical shells, an innovative calculation method is proposed considering the different boundary conditions in the axial displacement functions based on beam functions. The method is on the basis of the research results proposed by researchers previously. They studied the calculation method of the free vibration and harmonic excitation response of rotating finite cylindrical shells under the one condition of simply-simply supported boundary only. The vibration differential equations for rotating cylindrical shells were established using the Hamilton principle based on the Love’s shell theory. The differential equations are transformed to ordinary differential equations by using Galerkin’s method. Taking an example of the simple harmonic excitation, the calculation method of the forced vibration response of rotating short cylindrical shells under the different boundary conditions is given. The proposed calculation method is verified by experiment.