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121.
V. V. Meleshko 《International Applied Mechanics》2005,41(9):1043-1058
The classical two-dimensional biharmonic problem for a rectangular domain is considered. Some historical aspects of the problem
are elucidated. The superposition method turns out to be efficient in solving thermoelastic-equilibrium problems in a rectangle.
The relationship between the mathematical and engineering approaches to these problems is studied. A few typical examples
are given
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Translated from Prikladnaya Mekhanika, Vol. 41, No. 9, pp. 101–117, September 2005. 相似文献
122.
正交各向异性厚层压板的热弹性响应分析 总被引:3,自引:0,他引:3
对受温度场作用的正交各向异性厚层压板建立了单层的热弹性状态方程,运用现代控制理论传递求解得到温度场作用的层压板的精确热弹性响应。对典型的受沿面内正弦分布沿厚度方向线性分布的温度场作用的四边简支矩形板的精确热弹性响应进行了详细分析和求解,与国内外相关理论结果比较,令人满意。 相似文献
123.
A technique is developed to solve contact problems for annular punches interacting with a transversely isotropic layer. The contact problem for two heated annular punches interacting with a layer is solved. The formulas for the contact stresses under the punches are derived, and the effect of the shape of the punches on the magnitude and distribution of these stresses is analyzed 相似文献
124.
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126.
In this paper, the effect of angle inclination at the interface of a viscous fluid and thermoelastic micropolar honeycomb solid due to inclined load is investigated. The inclined load is assumed to be a linear combination of normal load and tangential load. Laplace transform with respect to time variable and Fourier transform with respect to space variable are applied to solve the problem. Expressions of stresses, temperature distribution, and pressures in the transformed domain are obtained by introducing potential functions. The numerical inversion technique is used to obtain the solution in the physical domain. The frequency domain expressions for steady state are also obtained with appropriate change of variables. Graphic representations due to the response of different sources and changes of angle inclination are shown. Some particular cases are also discussed. 相似文献
127.
The present paper is concerned with the investigation of disturbances in'a homogeneous, isotropic elastic medium with generalized thermoelastic diffusion, when a moving source is acting along one of the co-ordinate axis on the boundary of the medium. Eigen value approach is applied to study the disturbance in Laplace-Fourier transform domain for a two dimensional problem. The analytical expressions for displacement components, stresses, temperature field, concentration and chemical potential are obtained in the physical domain by using a numerical technique for the inversion of Laplace transform based on Fourier expansion techniques. These expressions are calculated numerically for a copper like material and depicted graphically. As special cases, the results in generalized thermoelastic and elastic media are obtained. Effect of presence of diffusion is analyzed theoretically and numerically. 相似文献
128.
Merab Svanadze 《Journal of Elasticity》2008,92(2):195-207
In this paper some basic properties of wave numbers of the longitudinal and transverse plane waves are treated. The existence
theorems of eigenfrequencies of the interior homogeneous boundary-value problems of steady oscillations of binary mixtures
for thermoelastic solids are proved. The connection between plane waves and eigenfrequencies is established.
This paper dedicated to my teacher Professor Mikheil Basheleishvili on the occasion of his 80th birthday. 相似文献
129.
功能梯度材料微梁的热弹性阻尼研究 总被引:1,自引:0,他引:1
基于Euler-Bernoulli梁理论和单向耦合的热传导理论,研究了功能梯度材料(functionally graded material,FGM)微梁的热弹性阻尼(thermoelastic damping,TED).假设矩形截面微梁的材料性质沿厚度方向按幂函数连续变化,忽略了温度梯度在轴向的变化,建立了单向耦合的变系数一维热传导方程.热力耦合的横向自由振动微分方程由经典梁理论获得.采用分层均匀化方法将变系数的热传导方程简化为一系列在各分层内定义的常系数微分方程,利用上下表面的绝热边界条件和界面处的连续性条件获得了微梁温度场的分层解析解.将温度场代入微梁的运动方程,获得了包含热弹性阻尼的复频率,进而求得了代表热弹性阻尼的逆品质因子.在给定金属-陶瓷功能梯度材料后,通过数值计算结果定量分析了材料梯度指数、频率阶数、几何尺寸以及边界条件对TED的影响.结果表明:(1)若梁长固定不变,梁厚度小于某个数值时,改变陶瓷材料体积分数可以使得TED取得最小值;(2)固有频率阶数对TED的最大值没有影响,但是频率阶数越高对应的临界厚度越小;(3)不同的边界条件对应的TED的最大值相同,但是随着支座约束刚度增大对应的临界厚度减小;(4)TED的最大值和对应的临界厚度随着金属组分的增大而增大. 相似文献
130.
THERMOELASTIC FREE VIBRATION OF CLAMPED CIRCULAR PLATE 总被引:1,自引:0,他引:1
IntroductionInrecentdecades,greatprogresshasbeenmadeintheoretical,numerical,experimentalinvestigationsandapplicationsinthefieldsrelatedtothermoelasticvibrations,tomeettheneedofscientificresearchandengineering.Thermoelasticvibrationisaboutthevibrationof… 相似文献