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首页> 外文会议>AIAA Dynamics Specialists Conference, Apr 21-22, 1994, Hilton Head, SC >INTRINSIC EQUATIONS FOR THE NONLINEAR DYNAMICS OF SPACE BEAMS
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INTRINSIC EQUATIONS FOR THE NONLINEAR DYNAMICS OF SPACE BEAMS

机译：空间梁非线性动力学的本征方程

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摘要

Equations are developed for the fully intrinsic nonlinear dynamics of a spatially curved, pretwisted beam. Direct deformation measures are used as variables. The equations are not referred to any global frame of references (fixed, moving or floating). Large deformations can be accommodated. The Bernoulli-Euler assumption is introduced for the gross dynamics but not for the constitutive relations. The latter may be also inelastic and time dependent. Initial and edge conditions (force and kinematic types) are presented. Specific equations are also given for the plane case and for the linear case. Some of the merits and drawbacks of this approach are discussed. The extension to a continuum is also briefly discussed.
机译：针对空间弯曲的预扭曲梁的完全固有非线性动力学，开发了方程。直接变形量度用作变量。这些方程式未引用任何全局引用框架（固定，移动或浮动）。可以容纳较大的变形。 Bernoulli-Euler假设是为总体动力学而不是本构关系引入的。后者也可能是非弹性的并且与时间有关。介绍了初始条件和边缘条件（力和运动学类型）。还给出了平面情况和线性情况的特定方程式。讨论了此方法的一些优缺点。还简要讨论了连续体的扩展。

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