燕山大学学报
燕山大學學報
연산대학학보
JOURNAL OF YANSHAN UNIVERSITY
2013年
5期
460-465,470
,共7页
梁金奎%田振国%郝亚娟%纪雪林%白象忠
樑金奎%田振國%郝亞娟%紀雪林%白象忠
량금규%전진국%학아연%기설림%백상충
磁流变弹性体薄板%耦合效应%磁弹性%变形%应力
磁流變彈性體薄闆%耦閤效應%磁彈性%變形%應力
자류변탄성체박판%우합효응%자탄성%변형%응력
magnetorheological elastomer annular plate%coupling effect%magnetoelastic%deformation%stress
通过运动方程、物理方程、几何方程及电动力学方程给出了磁流变弹性体薄板在机械场、磁场作用下的基本方程,以磁流变弹性体环形薄板问题为例,建立了含有8个基本未知量的偏微分方程组,再利用Newmark有限等差式,得到了可以应用离散正交法求解的标准型。对于变化磁场下的磁流变弹性体薄板,得到了磁场力的表达式。讨论了磁流变弹性体薄板应力、变形随外加磁场参量的变化规律,并通过实例证实了可以通过改变磁场、机械场的参数来实现对薄板的应力、应变的控制。
通過運動方程、物理方程、幾何方程及電動力學方程給齣瞭磁流變彈性體薄闆在機械場、磁場作用下的基本方程,以磁流變彈性體環形薄闆問題為例,建立瞭含有8箇基本未知量的偏微分方程組,再利用Newmark有限等差式,得到瞭可以應用離散正交法求解的標準型。對于變化磁場下的磁流變彈性體薄闆,得到瞭磁場力的錶達式。討論瞭磁流變彈性體薄闆應力、變形隨外加磁場參量的變化規律,併通過實例證實瞭可以通過改變磁場、機械場的參數來實現對薄闆的應力、應變的控製。
통과운동방정、물리방정、궤하방정급전동역학방정급출료자류변탄성체박판재궤계장、자장작용하적기본방정,이자류변탄성체배형박판문제위례,건립료함유8개기본미지량적편미분방정조,재이용Newmark유한등차식,득도료가이응용리산정교법구해적표준형。대우변화자장하적자류변탄성체박판,득도료자장력적표체식。토론료자류변탄성체박판응력、변형수외가자장삼량적변화규률,병통과실예증실료가이통과개변자장、궤계장적삼수래실현대박판적응력、응변적공제。
Based on the motion equations, physical equations, geometric equations and electrodynamics equations, the ma-gnetorheological elastomer plate basic equations in the mechanical field and the magnetic field are obtained.The magnetorheological elastomer annular plate problem is developed that contains eight basic unknowns. Newmark algorithm and discrete orthogonal me-thods are employed to get the standard types. As numerical examples for the magnetorheological elastomers plate in the changing magnetic field, the expression of the magnetic field force is derived. The formulation for the stress and deformation of the ma-gnetorheological elastomer plate in different magnetic field parameters are analyzed. It is shown that the sress and strain can be con-trolled by changing the magnetic field and the mechanical field.