上海交通大学 海洋工程国家重点实验室； 高新船舶与深海开发装备协同创新中心；船舶海洋与建筑工程学院， 上海 200240
出版日期:2019-07-28发布日期:2019-08-02通讯作者:杨德庆，男，教授，博士生导师，电话(Tel.): 021-62933131；E-mail: yangdq@sjtu.edu.cn.作者简介:任晨辉(1992-)，男，山西省吕梁市人，博士生，主要从事船舶与海洋工程结构振动和噪声控制研究.基金资助:国家自然科学基金项目（51479115），海洋工程国家重点实验室课题（GKZD010071）Performance of the Centrally-Clamped Cosine-Shaped Beam as a Nonlinear Vibration Isolator
REN Chenhui,YANG DeqingState Key Laboratory of Ocean Engineering; Collaboration Innovation Center for Advanced Ship and Deep-Sea Exploration; School of Naval Architecture, Ocean and Civil Engineering, Shanghai Jiao Tong University, Shanghai 200240, China
Online:2019-07-28Published:2019-08-02摘要/Abstract
摘要： 设计了中点固结的余弦形预制双曲梁非线性隔振器，以用于船舶设备的主动与被动隔振.给出了余弦形预制双曲梁隔振器所受横向压力-位移关系解析表达式，分别建立了主动与被动隔振系统的非线性振动微分方程，利用谐波平衡法求得近似解析解，并与龙格-库塔法的数值解进行比较，给出了力传递率与位移传递率的表达式.同时，研究了在不同的非线性刚度系数、激励幅值、阻尼系数条件下，余弦形预制双曲梁隔振器的力传递率与位移传递率的变化规律.结果表明：谐波平衡法的解析解与龙格-库塔法的数值解基本吻合；所设计的非线性隔振器具有优良的低频隔振效果，其响应和隔振性能与激励幅值和阻尼有关.
关键词: 余弦形曲梁； 隔振器； 非线性振动； 谐波平衡法； 振动传递率
Abstract: Two prefabricated centrally-clamped cosine beams were proposed as a nonlinear vibration isolator for active and passive vibration isolation of marine equipment. The analytical expression of the beam’s force-displacement relationship was given, and the nonlinear differential equations of active and passive vibration isolation were established, respectively. The harmonic balance method (HBM) was applied to get the approximate analytical solutions of the differential vibration equations, and then the solutions were compared with those numerical ones obtained by the Runge-Kutta method. In order to characterize the vibration isolation capability of the isolator, the expressions of force transmissibility and displacement transmissibility were given. In addition, the effects of different nonlinear stiffness coefficients, excitation amplitudes and damping coefficients on force and displacement transmissibility were studied. The results show that HBM yields the same solution as the numerical method. The proposed nonlinear isolator has excellent performance of low-frequency vibration isolation, and its response and vibration isolation performance are affected by the excitation amplitude and damping coefficient.
Key words: cosine beams; vibration isolator; nonlinear vibration; harmonic balance method (HBM); vibration transmissibility
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