不可压缩Ogden材料组成的球体的有限振动  

Finite Oscillation of Sphere Composed of a Class of Incompressible Ogden Materials

在线阅读下载全文

作  者:杜雁芳[1] 

机构地区:[1]辽宁师范大学数学学院,辽宁大连116029

出  处:《大连民族学院学报》2012年第3期242-245,共4页Journal of Dalian Nationalities University

摘  要:研究了各向同性不可压缩超弹性Ogden材料组成的两种球形结构(实心球体和含有微孔的球体)在外表面拉伸载荷作用下的径向对称运动问题。给出了问题的基本控制方程和初边值条件,求得了描述球形结构运动的二阶常微分方程。通过对解的定性分析,证明了球形结构随时间的运动为非线性周期振动。The problems of radial symmetric motions are researched for two spherical structures ( namely, a solid sphere and a sphere with an initial micro - void) composed of a class of isotropic incompressible hyperelastic Ogden materials, where the structures are subjected to radial tensile loads on their outer surfaces. Firstly, we present the basic control equations and the initial and the boundary conditions of the problem, and obtain two second order nonlinear ordinary differential equations which describe the radial motions of the spherical structures. Through qualitatively analyzing of the solutions, it is proved that the structures would perform a nonlinear periodic oscillation with time.

关 键 词:超弹性材料 球形结构 非线性周期振动 

分 类 号:O343[理学—固体力学]

 

参考文献:

正在载入数据...

 

二级参考文献:

正在载入数据...

 

耦合文献:

正在载入数据...

 

引证文献:

正在载入数据...

 

二级引证文献:

正在载入数据...

 

同被引文献:

正在载入数据...

 

相关期刊文献:

正在载入数据...

相关的主题
相关的作者对象
相关的机构对象