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  HomeContents of Chinese Journal of Mechanical Engineering (English Edition),2000 No.1STIFFNESS EQUATION OF FINITE SEGMENT FOR FLEXIBLE BEAM-FORMED STRUCTURAL ELEMENTS
STIFFNESS EQUATION OF FINITE SEGMENT

FOR FLEXIBLE BEAM-FORMED

STRUCTURAL ELEMENTS*

 

Yun Chao  Zong Guanghua
 Institute of Robotics, Beijing University of Aeronautics and Astronautics
Liu Youwu

  Tianjin University

 

Abstract: The finite segment modelling for the flexible beam-formed structural elements is presented, in which the discretization views of the finite segment method and the difference from the finite element method are introduced. In terms of the nodal model, the joint properties are described easily by the model of the finite segment method, and according to the element properties,the assumption of the small strain is only met in the finite segment method, i.e., the geometric nonlinear deformation of the flexible bodies is allowable. Consequently, the finite segment method is very suited to the flexible multibody structure. The finite segment model is used and the arc differentiation is adopted for the differential beam segments. The stiffness equation is derived by the use of the principle of virtual work. The new modelling method shows its normalization, clear physical and geometric meanings and simple computational process.

Key words: Beam-formed structural element  Finite segment  Stiffness equation S hape function


* This project is supported by National Natural Science Foundation of China (59575026). Manuscript received on September 28, 1998; revised manuscript June 10, 1999

 

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