...
  • 主题
高级搜索  >
历史搜索 清空历史
首页> 外文期刊>Computer Methods in Applied Mechanics and Engineering >A generalized computational approach to stability of static equilibria of nonlinearly elastic rods in the presence of constraints
【24h】

A generalized computational approach to stability of static equilibria of nonlinearly elastic rods in the presence of constraints

机译：存在约束时非线性弹性杆静平衡稳定性的通用计算方法

获取原文
获取原文并翻译 | 示例
           
页面导航
  • 摘要
  • 著录项
  • 相似文献
  • 相关主题

摘要

We present a generalized approach to stability of static equilibria of nonlinearly elastic rods, subjected to general loading, boundary conditions and constraints (of both point-wise and integral type), based upon the linearized dynamics stability criterion. Discretization of the governing equations leads to a non-standard (singular) generalized eigenvalue problem. A new efficient sparse-matrix-friendly algorithm is presented to determine its few left-most eigenvalues, which, in turn, yield stability/instability information. For conservative problems, the eigenvalue problem arising from the linearized dynamics stability criterion is also shown to be equivalent to that arising in the determination of constrained local minima of the potential energy. We illustrate the method with several examples. A novel variational formulation for extensible and unshearable rods is also proposed within the context of one of the example problems.
机译：我们基于线性化动力学稳定性准则，提出了一种通用方法来解决非线性弹性杆静平衡的稳定性，该载荷要承受一般载荷，边界条件和约束（点型和积分型）。控制方程的离散化导致非标准（奇异）广义特征值问题。提出了一种新的有效的稀疏矩阵友好算法，以确定其最左边的几个特征值，进而产生稳定性/不稳定性信息。对于保守问题，线性动力学稳定性判据所产生的特征值问题也与确定势能的约束局部极小值所引起的特征值问题相同。我们通过几个示例来说明该方法。在示例问题之一的背景下，还提出了一种针对可伸长和不可剪切的杆的新颖变体形式。

著录项

相似文献

  • 外文文献
  • 中文文献
  • 专利
获取原文

客服邮箱：kefu@zhangqiaokeyan.com

京公网安备：11010802029741号 ICP备案号：京ICP备15016152号-6 六维联合信息科技 (北京) 有限公司©版权所有

  • 客服微信

  • 服务号