针对含开口薄壁杆件的大型空间柔性结构热屈曲问题,发展了一种包含翘曲自由度的二节点开口薄壁杆单元。该单元考虑了约束扭转与弯扭耦合效应,同时考虑了热应力对几何刚度阵的影响,可进行空间杆系结构的热屈曲分析。简单梁模型算例表明:...针对含开口薄壁杆件的大型空间柔性结构热屈曲问题,发展了一种包含翘曲自由度的二节点开口薄壁杆单元。该单元考虑了约束扭转与弯扭耦合效应,同时考虑了热应力对几何刚度阵的影响,可进行空间杆系结构的热屈曲分析。简单梁模型算例表明:该方法求得的各阶屈曲温度临界值和屈曲模态与AN SY S薄壳有限元解吻合较好;并且由于考虑了开口薄壁杆的特性,热首先引起杆件的弯扭耦合屈曲。对哈勃太空望远镜太阳帆板的简化模型进行了热屈曲分析,成功地解释了热使该太阳帆板发生扭转屈曲的原因。展开更多
In this paper, we consider initial boundary value problem for the equations of one-dimensional nonlinear thermoelasticity with second sound in IR＋. First, we derive decay rates for linear systems which, in fact, is a...In this paper, we consider initial boundary value problem for the equations of one-dimensional nonlinear thermoelasticity with second sound in IR＋. First, we derive decay rates for linear systems which, in fact, is a hyperbolic systems with a damping term. Then, using this linear decay rates, we get L1 and L∞ decay rates for nonlinear systems. Finally, combining with L2 estimates and a local existence theorem, we prove a global existence and uniqueness theorem for small smooth data.展开更多
文摘针对含开口薄壁杆件的大型空间柔性结构热屈曲问题,发展了一种包含翘曲自由度的二节点开口薄壁杆单元。该单元考虑了约束扭转与弯扭耦合效应,同时考虑了热应力对几何刚度阵的影响,可进行空间杆系结构的热屈曲分析。简单梁模型算例表明:该方法求得的各阶屈曲温度临界值和屈曲模态与AN SY S薄壳有限元解吻合较好;并且由于考虑了开口薄壁杆的特性,热首先引起杆件的弯扭耦合屈曲。对哈勃太空望远镜太阳帆板的简化模型进行了热屈曲分析,成功地解释了热使该太阳帆板发生扭转屈曲的原因。
文摘In this paper, we consider initial boundary value problem for the equations of one-dimensional nonlinear thermoelasticity with second sound in IR＋. First, we derive decay rates for linear systems which, in fact, is a hyperbolic systems with a damping term. Then, using this linear decay rates, we get L1 and L∞ decay rates for nonlinear systems. Finally, combining with L2 estimates and a local existence theorem, we prove a global existence and uniqueness theorem for small smooth data.
