会议专题

ON MODE ORTHOGONALITY OF COMPLEX STRUCTURES

The orthogonality of vibration modes plays a central role in determining analytically the transient response of an elastic system subject to general time-varying excitations. A novel method, based on the system of first-order differential equations governing one-dimensional continuum models, is presented for deriving the orthogonality relations of vibration modes of a complex three-dimensional elastic frame. The members in the frame can have nonuniform cross-sections, but the centre lines must be straight, and the joints (that connect the members together to form the network of structure) can be either perfectly rigid or pinned; and further, they may be elastically supported and have concentrated masses. The derived relations can be used to investigate the transient responses of framed structures subjected to distributed/ concentrated loads applied on members or concentrated loads applied at joints.

Complex structures free vibration mode orthogonality symplectic inner product

W.Q.Chen Y.Q.Guo Y.H.Pao

Department of Engineering Mechanics, Zhejiang University,Yuquan Campus, Hangzhou 310027, China Key Laboratory of Mechanics on Disaster and Environment in Western China,Ministry of Education, and College of Civil Engineering and Architecture, Zhejiang University Zijingang Campus, Hangzhou 310058

国际会议

The IJSSD Symposium 2012 on Progress in Structural Stability and Dynamics(2012国际结构稳定与动力学进展会议)

南京

英文

173-180

2012-04-14(万方平台首次上网日期,不代表论文的发表时间)