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计及动力刚化的柔体动力学

Dynamics of Flexible Bodies Considering the Dynamic Stiffening Terms

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【作者】 刘又午阎绍泽张大钧

【Author】 Liu Youwu et al.(Tianjin University, Tianjin, China )

【机构】 天津大学机械工程系!天津市300072天津大学!天津市

【摘要】 提出两种计及动力刚化影响的动力学建模方法:有限段方法和一致线性化动力学方法。分析了这两种动力学方法计及动力刚化的机理,有限段方法将柔体动力学问题转化为带有关节柔性的多刚体系统动力学问题,计及了几何非线性的影响,适合于解决梁式结构的动力学问题;一致线性化动力学方法将变形场描述成为变形广义坐标的非线性形式,在适当的阶段线性化,可得到一致线性化动力学方程,自然计及了动力刚化项.适合子柔体的小变形问题。

【Abstract】 A flexible body undergoing the large overall motion can produce dynamic stiff ening due to the coupling between rigid and elas tic motions, which influences the body’s stiff ness, but some traditional dynamics can hardly involve the dynamic stiffening terms. Therefore, this paper presents two new dynamic methods in consideration of the terms: the finite segment method and the consistent linear method, whose mechanism in consideration of dynamic stiffening terms is discussed. The finite segment method inverts dynamic problems of flexible bodies into dynamic problems of rigid bodies, includes the effects of geometric nonlinearity, and can be used to problems of beam like members. The consistent linear method describes deformations of bodies by using the nonlinear deformation fields. Nonlinear terms of vibration coordinates in kinematics analysis should be considered, retained up to certain phase, and then linearized to form consistent linearization dynamic equations. This method can be used to study dynamics of the mechanical members with small deformation.

【基金】 国家自然科学基金!59475027
  • 【文献出处】 中国机械工程 ,China Mechanical Engineering(中国机械工程) , 编辑部邮箱 ,1997年04期
  • 【分类号】TH113
  • 【被引频次】43
  • 【下载频次】298
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