| 半无限长压电杆的瞬态热冲击问题 |
| |
| 引用本文： | 万强,田晓耕,沈亚鹏.半无限长压电杆的瞬态热冲击问题[J].固体力学学报,2003,24(1):98-108. |
| |
| 作者姓名： | 万强 田晓耕 沈亚鹏 |
| |
| 作者单位： | 西安交通大学机械结构强度与振动国家重点实验室,西安,710049 |
| |
| 基金项目： | 国家自然科学基金重点项目 (10 13 2 0 10,50 13 50 3 0 )，高校博士点基金 (2 0 0 10 6980 18)资助 |
| |
| 摘 要： | 采用具有一个热松弛时间的L－S广义热弹性理论，研究了一维半无限长压电杆在一端受到热冲击时的边值问题。借助拉普拉斯正，反变换技术，在所考虑时间非常短的情况下，对问题进行了求解，得到了压电杆上的位移，压力及温度分布的近似解析解，发现应力及温度分布中分别存在两个阶跃点，并给出了算例。
|
| 关 键 词： | 半无限长压电杆 瞬态热冲击问题 压电材料 L－S广义热弹性理论 松弛时间 拉普拉斯变换 阶跃点 |
TRANSIENT THERMAL SHOCK PROBLEM OF A SEMI-INFINITE PIEZOELECTRIC ROD |
| |
| Wan Qiang,Tian Xiaogeng,Shen Yapeng.TRANSIENT THERMAL SHOCK PROBLEM OF A SEMI-INFINITE PIEZOELECTRIC ROD[J].Acta Mechnica Solida Sinica,2003,24(1):98-108. |
| |
| Authors: | Wan Qiang Tian Xiaogeng Shen Yapeng |
| |
| Abstract: | The theory of generalized thermoelasticity, based on the theory of Lord and Shulman with one relaxation time, is used to solve a boundary value problem of one-dimension semi-infinite piezoelectric rod with its plane boundary subjected to a sudden heat. Approximate small-time analytical solutions of displacement, stress and temperature are obtained by means of the Laplace transform and iverse transform. It is found that there are two discontinuous points in both displacement, stress and temperature solutions. Numerical calculation for temperature and stress is carried out and displayed graphically. |
| |
| Keywords: | piezoelectric material L-S generalized thermoelasticity theory thermal relaxation time Laplace's transform discontinuous points |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
