CAJ | 학술논문

采用振型叠加法研究薄壁短圆柱壳受谐波激励的振动响应分析时模态截断数量的影响，且考虑简支-简支、固支-固支和固支-自由三种约束条件。首先基于Love壳体理论建立薄壁短圆柱壳的动力学模型。然后，给出采用振型叠加法进行薄壁短圆柱壳受径向谐波激励时的振动响应求解方法。在三种不同约束条件下，计算采用不同模态截断数量时的稳态响应的振动幅值，对比其一致性，并与实测结果进行比较。结果表明，在这三种约束条件下计算受谐波激励薄壁短圆柱壳的振动响应，需要截取前8阶模态函数用于表征位移模式；模态数据超过8阶对响应计算的精度没有明显改善，实测振动响应结果与解析结果基本吻合。
채용진형첩가법연구박벽단원주각수해파격려적진동향응분석시모태절단수량적영향，차고필간지-간지、고지-고지화고지-자유삼충약속조건。수선기우Love각체이론건립박벽단원주각적동역학모형。연후，급출채용진형첩가법진행박벽단원주각수경향해파격려시적진동향응구해방법。재삼충불동약속조건하，계산채용불동모태절단수량시적은태향응적진동폭치，대비기일치성，병여실측결과진행비교。결과표명，재저삼충약속조건하계산수해파격려박벽단원주각적진동향응，수요절취전8계모태함수용우표정위이모식；모태수거초과8계대향응계산적정도몰유명현개선，실측진동향응결과여해석결과기본문합。
An analysis was made to study on forced vibration response characteristics of a short thin cylindrical shell under a radial harmonic excitation force, and the modal numbers were considered for simply supported-simply supported, clamped-clamped and clamp-free boundary conditions. A dynamic model of a short thin cylindrical shell was constructed according to Love’s shell theory. Then, the dynamic equations were solved based on modal superposition method when the cylindrical shell was subject to a radial harmonic excitation force. Under three boundary conditions the vibration response results were calculated. The results show that the response amplitudes need the first eight modes to represent the displacement mode. If the modal numbers are more than eight, the precision are no more obvious improvement, and analytic results and experimental results are fundamental agreement.