从非线性应变一位移关系式出发,用虚功原理建立了热载荷作用的柔性梁的热传导方程和旋转刚体一梁系统的刚一柔耦合动力学方程。由于考虑了剐度阵的高次变形项,适用于大变形问题。对温度、弹性变形和刚体运动变量联合求解,研究了热流引起的温度梯度对弹性变形和刚体转动的影响,以及在大变形情况下的几何非线性效应。
Based on nonlinear strain-displacement expression, heat conduction equations for flexible beam and rigid-flexible coupling equations of motion for hub-beam system are derived using virtual work approach. Considering high-order deformation terms in stiffness matrix, such method is suitable for large deformation problem. Temperature, elastic deformation and variables describing rigid body motion are calculated simultaneously. The influence of temperature gradient on the elastic deformation and rigid body motion and geometric nonlinear effect due to the large deformation are investigated.