共查询到18条相似文献,搜索用时 31 毫秒
1.
载流圆形薄板的磁弹性应力与变形分析 总被引:1,自引:0,他引:1
本文在建立非定常电磁场和机械载荷作用下载流圆形薄板非线性变形状态下的磁弹性二维关系方程和运动方程的基础上,对其在非静态电磁场和机械载荷联合作用下的位移及应力进行了分析,获得了耦合场中一些参量的变化规律,通过具体算例,得出了载流圆形薄板在机械场和电磁场作用下的位移及应力与通电电流强度之间的关系,并解决了圆板中心处的奇异性问题,给出了在轴对称条件下的数值解,计算结果表明,改变通电电流及电磁感应强度的大小,可以改变载流薄板的应力和变形状态,达到控制薄板的受力和变形的目的。 相似文献
2.
在建立载流薄板的非线性磁弹性运动方程、电动力学方程和Lorentz力表达式的基础上,通过变量代换,将描述薄板的磁弹性状态方程整理成含有10个基本函数的标准Cauchy型.采用差分法及准线性化方法,将标准Cauchy型非线性偏微分方程组,变换成为能够用离散正交法求解的准线性微分方程组.通过算例,得到了电磁场与机械载荷联合... 相似文献
3.
本文针对四边固定载流矩形薄板,利用Mathieu方程解的稳定性,研究其在电磁场与机械荷载共同作用下的磁弹性稳定性问题。首先在载流薄板的磁弹性非线性运动方程、物理方程、几何方程、洛仑兹力表达式及电动力学方程的基础上,导出了载流薄板在电磁场与机械荷载共同作用下的磁弹性动力稳定方程,然后应用Galer-kin方法将稳定方程整理为Mathieu方程的标准形式,并将薄板的动力稳定性问题归结为对Mathieu方程的求解。利用Mathieu方程的稳定解区域与非稳定解区域的分界,即方程系数λ和η的本征值关系,得出了磁弹性问题失稳临界状态的判别方程。通过具体算例,给出了四边固定载流矩形薄板的磁弹性动力失稳临界状态与相关参量之间的关系曲线,并对计算结果及其变化规律进行了分析讨论。 相似文献
4.
5.
针对磁场环境中受机械载荷作用变厚度载流旋转壳体热磁弹性问题,基于薄壳的几何方程、物理方程、运动方程、电动力学方程,建立其热磁弹性基本方程.应用线性化方法,得到了关于热磁弹性问题的线性迭代方程,转化为包括8个基本未知量的标准型方程组.关于载流旋转壳体,给出Lorentz力表达式,导出了温度场及温度场积分特征值.分析了变厚度锥形旋转壳体应力、温度及变形随外加电磁参量的变化规律,并通过数值模拟对理论分析进行了验证.研究结果可为载流旋转壳体热磁弹性问题研究提供理论参考. 相似文献
6.
7.
针对磁场环境中受机械载荷作用变厚度载流旋转壳体热磁弹性问题,基于薄壳的几何方程、物理方程、运动方程、电动力学方程,建立其热磁弹性基本方程.应用线性化方法,得到了关于热磁弹性问题的线性迭代方程,转化为包括8个基本未知量的标准型方程组.关于载流旋转壳体,给出Lorentz力表达式,导出了温度场及温度场积分特征值.分析了变厚度锥形旋转壳体应力、温度及变形随外加电磁参量的变化规律,并通过数值模拟对理论分析进行了验证.研究结果可为载流旋转壳体热磁弹性问题研究提供理论参考. 相似文献
8.
基于几何方程、物理方程、运动方程和电动力学方程,建立了二维导电薄柱壳热磁弹性基本方程.考虑到Joule热效应,引入热平衡方程及广义Ohm定律,得出导电薄柱壳的温度场.利用变量代换方法,整理成具有10个基本未知量的标准型方程组.采用差分法和准线性化方法,给出准线性微分方程组.对于二维导电薄柱壳,导出了Lorentz力表达式、温度场积分特征值.通过实例计算,得到了二维导电薄柱壳应力、位移、温度随外加电磁参量的变化规律.研究结果可为二维导电薄壳热磁弹性问题研究提供理论参考. 相似文献
9.
10.
软铁磁薄板磁弹性耦合作用的变分原理 总被引:1,自引:2,他引:1
研究磁弹性耦合问题的关键是正确计算作用在铁磁弹性体上的磁力,该文以磁场系统的磁能与磁介质弹性板应变能之和作为软铁磁薄板位于外加磁场合作用系统的能量泛函,以磁标势函数和位移函数的变分为独立变量,给出软铁磁薄板在任意外磁场中磁弹性耦俣作用变分原理,由此不仅导出磁和结构变形的联立控制方程,而且获得作用在薄板上的磁力表达式,进而可以对两类不同性质的铁磁板耦合作用的实验现象进行理论模拟 相似文献
11.
轴向运动导电薄板磁弹性耦合动力学理论模型 总被引:1,自引:0,他引:1
针对磁场环境中轴向运动导电薄板的动力学理论建模问题进行研究,得到较为完备的磁弹性耦合振动基本方程及相应的补充关系式.在考虑几何非线性效应下,给出薄板运动的动能、应变能以及外力虚功的表达式.应用啥密顿变分原理,推得磁场中轴向运动薄板的非线性磁弹性耦合振动方程,并得到力和位移满足的边界条件.基于麦克斯韦电磁场方程,并考虑相应的电磁本构关系和电磁边界条件,推得任意磁场环境中轴向运动导电薄板满足的电动力学方程和所受电磁力表达式.分别针对纵向磁场环境、横向磁场环境、条形板等具体情形,给出振动方程、电动力学方程和电磁力的简化形式.所得结果,可为此类问题的进一步求解和分析提供理论参考. 相似文献
12.
13.
《International Journal of Solids and Structures》2006,43(16):4971-4996
The basic equations of a fully nonlinear theory of electromagnetically conducting flat plates carrying an electric current and exposed to a magnetic field of arbitrary orientation are derived. The relevant equations have been obtained by considering that both the elastic and electromagnetic media are homogeneous and isotropic. The geometrical nonlinearities are considered in the von-Kármán sense, and the soft ferromagnetic material of the plate is assumed to feature negligible hysteretic losses. Based on the electromagnetic and elastokinetic field equations, by using the standard averaging methods, the 3-D coupled problem is reduced to an equivalent 2-D one, appropriate to the theory of plates. Having in view that the elastic structures carrying an electric current are prone to buckling, by using the presently developed theory, the associated problems of buckling and postbuckling are investigated. In this context, the problem of the electrical current inducing the buckling instability of the plate, and its influence on the postbuckling behavior are analyzed. In the same context, the problem of the natural frequency–electrical current interaction of flat plates, as influenced by a magnetic field is also addressed. 相似文献
14.
Magneto-elastic stress in a thin infinite plate with an elliptical hole under uniform magnetic field
Norio Hasebe 《Archive of Applied Mechanics (Ingenieur Archiv)》2011,81(6):745-764
Two-dimensional magnetic field and magneto-elastic stress solutions are presented for a magnetic material of a thin infinite
plate with an elliptical hole under uniform magnetic field. The linear constitutive equation is used for the magnetic field
and the stress analyses. The magneto-elastic stress is analyzed using Maxwell stress since only Maxwell stress is caused as
a body force according to the electro magneto theory. Except the approximation of the plane stress state in which the plate
is thin, no further assumption is made for the stress analysis, though Maxwell stress components are expressed by nonlinear
terms. The rigorous boundary condition expressed by Maxwell stress is completely satisfied without any linear assumptions
on the boundary. First, magnetic field and stress for soft ferromagnetic material is analyzed and then those for paramagnetic
and diamagnetic materials are analyzed. It is stated that the stress components are the same expressions for those materials
and the difference is only the magnitude of the permeability, though the magnetic fields are different each other in the plates.
If the analysis of magnetic field of paramagnetic materials is easier than that of soft ferromagnetic material, the stress
analysis may be carried out using the magnetic field for paramagnetic material. Shear deflection as well as stress in the
direction of the plate thickness arises and the solutions are also obtained. Figures of the magnetic field and stress distribution
are shown. Stress intensity factors are also derived. 相似文献
15.
《Acta Mechanica Solida Sinica》2009,22(3)
Based on the generalized variational principle of magneto-thermo-elasticity of a ferromagnetic thin shell established (see, Analyses on nonlinear coupling of magneto-thermo-elasticity of ferromagnetic thin shell-Ⅰ), the present paper developed a finite element modeling for the mechanical-magneto-thermal multi-field coupling of a ferromagnetic thin shell. The numerical modeling composes of finite element equations for three sub-systems of magnetic, thermal and deformation fields, as well as iterative methods for nonlinearities of the geometrical large-deflection and the multi-field coupling of the ferromagnetic shell. As examples, the numerical simulations on magneto-elastic behaviors of a ferromagnetic cylindrical shell in an applied magnetic field, and magneto-thermo-elastic behaviors of the shell in applied magnetic and thermal fields are carried out. The results are in good agreement with the experimental ones. 相似文献
16.
研究磁场环境中轴向运动导电薄板磁弹性动力学及分岔特性。考虑几何非线性因素,在给出薄板运动的动能、应变能及外力虚功的基础上,应用哈密顿变分原理,得到磁场中轴向运动薄板的非线性磁弹性振动方程,并给出洛伦兹电磁力的确定形式。针对横向磁场环境中条形板共振特性进行分析,应用多尺度法和奇异性理论,得到稳态运动下的分岔响应方程以及普适开折对应的转迁集。通过算例,分别得到以磁感应强度、轴向运动速度和激励力为分岔控制参数的分岔图、最大李雅普诺夫指数图和庞加莱映射图等计算结果,讨论不同分岔参数对系统呈现的倍周期和混沌运动的影响。结果表明,通过相应参数的改变可实现对系统复杂动力学行为的控制。 相似文献
17.
The problems of nonlinear deformation of a thin current-carrying shell under the coupled action of an unsteady electromagnetic
field and a mechanical field are studied. The nonlinear magneto-elastic kinetic equations, the physical equations, the geometric
equations, the electrodynamics equations, and the expressions of Lorentz force of a thin current-carrying shell under the
action of a coupled field are given. Normal Cauchy form nonlinear differential equations, which include ten basic unknown
functions in all, are obtained by the variable replacement method. Using the difference and quasilinearization methods, the
nonlinear magneto-elastic equations are reduced to a sequence of quasilinear differential equations, which can be solved by
the method of discrete orthogonalization. Numerical solutions for the stresses and deformations in the thin current-carrying
strip-shell with two simply supported edges are obtained by considering a specific example. The results that the stresses
and deformations in a thin current-carrying strip-shell with two simply supported edges change with variation of the electromagnetic
parameters are discussed, through a special case. It is shown that the deformations of the shell can be controlled by changing
the electromagnetic parameters
Published in Prikladnaya Mekhanika, Vol. 43, No. 9, pp. 130–144, September 2007. 相似文献
18.
针对磁场环境中轴向运动载电流导电板磁热弹性耦合动力学建模问题进行研究. 考虑几何非线性和热效应条件下, 给出薄板运动的动能、应变能以及外力虚功的表达式.应用哈密顿变分原 理, 推得力、运动、电、磁和热效应相互作用下轴向运动导电板的非线性磁热弹性耦合振动方程.基于麦克斯韦电磁场方程, 考虑相应的电磁本构关系和电磁边界条件, 推得磁场环境中轴向运动载电流导电板满足的电动力学方程和所受电磁力表达式, 并给出焦耳热作用下耦合形式的热传导方程. 算例表明, 磁场等参量对动力学系统分岔特性有明显影响.所得结果可为此类问题的进一步求解和分 析提供理论参考. 相似文献