功能梯度棒-弹簧系统的一维约束热应力  

The One-dimensional Constraints Thermal Stress Analyses of the Functionally Graded Beam-Spring System

作　　者：程家幸 时朋朋[2] 李星[3] 

机构地区：[1]西南林业大学土木工程学院,云南昆明650224 [2]西安电子科技大学机电工程学院,陕西西安710071 [3]宁夏师范学院数学与计算机科学学院,宁夏固原756000

出　　处：《数学的实践与认识》2016年第13期154-159,共6页Mathematics in Practice and Theory

基　　金：国家自然科学基金(11362018);福建省自然科学基金(2011J01001);兰州大学西部灾害与环境力学教育部重点实验室开放基金项目(Klmwde201406)

摘　　要：求解了功能梯度棒-弹簧系统的一维约束热应力问题.假设棒只存在轴向应变且线膨胀系数和弹性模量与位置坐标是呈幂函数变化,通过得到描述问题的方程组,进而得到棒热应力分布的解析解.结果经退化可得到均匀棒以及功能梯度棒若干问题的解析解.数值算例分析了功能梯度参数等对热应力的影响.The one-dimensional thermal stress problems of a functionally graded beam-spring system are studied. To make the analysis tractable, the properties of the functionally graded beam, such as elastic modulus and coefficient of linear thermal expansion, are assumed in power forms and vary the location coordinate. Under the view of mechanics of materials, the one-dimensional thermal stress distribution in analytical form is found. The derivation is verified by the simplified results in the special cases of the beam-spring system and the functionally graded beam. Numerical results are presented to show the effects of functionally graded parameters of beam on the thermal stress.

关 键 词：功能梯度材料 棒-弹簧系统 约束 热应力 

分 类 号：TB34[一般工业技术—材料科学与工程]