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101.
102.
I. Chudinovich 《Journal of Mathematical Analysis and Applications》2008,339(2):1024-1043
The initial-boundary value problems with the Dirichlet and Neumann boundary conditions arising in the theory of bending of thermoelastic plates with transverse shear deformation are reduced to time-dependent boundary integral equations by means of layer potentials. The solvability of these equations is then investigated in Sobolev-type spaces. 相似文献
103.
强脉冲载荷作用下弹-塑性薄圆板的大挠度动力响应 总被引:3,自引:1,他引:2
利用有限变形弹塑性连续体的最小加速度原理 ,建立了分析圆板动力响应问题的数值方法 ,并通过对均匀分布的脉冲载荷作用下铰支圆板位移响应的细致分析 ,探讨了响应过程中的饱和冲量现象 ,指出对于高载范围内的脉冲载荷 ,相应于最大变形的饱和冲量确实是存在的。结果还表明 ,虽然圆板的弹塑性动力分析非常复杂 ,但基于最小加速度原理的数值计算方法却具有简单、直接的优点。 相似文献
104.
The unsteady flow of a viscoelastic fluid with the fractional Maxwell model between two side walls perpendicular to a plate is investigated. Exact solutions for the velocity field are established by means of the Fourier and Laplace transforms. The similar solutions for Maxwell and Newtonian fluids can be obtained as limiting cases of our results. In the absence of side walls, all solutions that have been determined reduce to those corresponding to the motion over an infinite plate. 相似文献
105.
Straightness Measurement Using Laser Diode and CCD Camera 总被引:4,自引:0,他引:4
HAO Qun ZHAO Yang LI Dacheng CAO Mang 《Chinese Journal of Lasers》1999,8(3):215-220
1IntroductionInmanufactureandasembleofmodernmachinesandinstruments,anindispensablerequirementisthecontrolofformandpositionero... 相似文献
106.
G. Teters 《Mechanics of Composite Materials》2005,41(5):461-466
Multicriteria optimization of the structure and geometry of a laminated anisotropic composite plate subjected to the thermal
and biaxial action is considered. From known properties of the monolayer and the given values of variable structural parameters,
the thermoelastic properties of the layered composite are determined. The criteria to be optimized—the transverse critical
load and the longitudinal thermal stresses—depend on two variable design parameters of composite properties and temperature.
In the space of the optimization criteria, the domain of allowable solutions and the Pareto-optimal subdomain are found.
__________
Translated from Mekhanika Kompozitnykh Materialov, Vol. 41, No. 5, pp. 683–690, September–October, 2005. 相似文献
107.
Compromise optimization of a rectangular composite plate subjected to biaxial thermal loading and buckling under the action of shear 总被引:1,自引:1,他引:0
G. Teters 《Mechanics of Composite Materials》2008,44(4):325-330
The compromise optimization of the structure and geometry of a laminated anisotropic composite plate subjected to biaxial
thermal shear loading is considered. From the known properties of the monolayer and given values of a variable structural
parameter, the thermoelastic properties of the layered composite are determined. The optimization criteria — the critical
shear load and the longitudinal and transverse thermal stresses — depend on two variable design parameters of composite properties
and temperature. In the space of optimization criteria, the domain of allowable solutions and the Pareto-optimal subregion
are found.
__________
Translated from Mekhanika Kompozitnykh Materialov, Vol. 44, No. 4, pp. 471–478, July–August, 2008. 相似文献
108.
109.
A fourth-order variational inequality of the second kind arising in a plate frictional bending problem is considered. By using regularization method, the original problem can be formulated as a differentiable variational equation, and the corresponding discrete FEM variational equation is presented afterwards. Abstract error estimates and error estimates of the approximation are derived in terms of energy norm and L^2-norm. 相似文献
110.
CHEN Wanji 《中国科学G辑(英文版)》2006,49(2):213-227
Theoretically, the constant stress patch test is not rigorous. Also, either the patch test of non-zero constant shear for
Mindlin plate problem or non-zero strain gradient curvature of the microstructures cannot be performed. To improve the theory
of the patch test, in this paper, based on the variational principle with relaxed continuity requirement of nonconforming
element for homogeneous differential equations, the author proposed the individual element condition for passing the patch
test and the convergence condition of the element: besides passing the patch test, the element function should include the
rigid body modes and constant strain modes and satisfy the weak continuity condition, and no extra zero energy modes occur.
Moreover, the author further established a variational principle with relaxed continuity requirement of nonconforming element
for inhomogeneous differential equations, the enhanced patch test condition and the individual element condition. To assure
the convergence of the element that should pass the enhanced patch test, the element function should include the rigid body
modes and non-zero strain modes which satisfied the equilibrium equations, and no spurious zero energy modes occur and should
satisfy new weak continuity condition. The theory of the enhanced patch test proposed in this paper can be applied to both
homogeneous and inhomogeneous differential equations. Based on this theory, the patch test of the non-zero constant shear
stress for Mindlin plate and the C0–1 patch test of the non-zero constant curvature for the couple stress/strain gradient theory were established. 相似文献