Dynamic analysis of port crane in case of modifying amplitude with second-order effect
Received:August 24, 2008  
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DOI:10.7511/jslx20104024
KeyWord:flexible beam systems  second-order effect  elastic dynamics  three-node Euler-Bernoulli beam element  co-mobile coordination method
     
AuthorInstitution
夏拥军 中国电力科学研究院, 北京
缪谦 中国电力科学研究院, 北京
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Abstract:
      The large scale moving elastic dynamics of port crane in case of modifying amplitude with second-order effect is analyzed. The deformation and motion of flexible body are described using the flexible multi-body system dynamics. The general flexible element’ dynamic equations with second-order effect in local coordination system are derived based on the nonlinear finite element theory. The dynamic equations of the flexible beam element are derived using the shape function of three-node Euler-Bernoulli beam element. The static condensation and co-mobile coordinate system are used and the dynamic equations of two-node beam element in global coordinate system are developed. The modifying-amplitude case of port crane’ boom system is analyzed with second-order effect considered. The results show that the displacement and internal force fluctuate on the linear solutions and the amplitude is bigger when the second-order effect is considered. So the heavy-duty flexible machine must be analyzed using the elastic dynamics with second-order effect.