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81.
Large amplitude oscillatory shear (LAOS) flow has been used to characterize the nonlinear viscoelasticity of polymer melts and solutions. Results are frequently reported with shear stress versus strain loops, or with shear stress versus shear rate loops. A Fourier analysis of the stress response to LAOS is often desired for comparison with theory, or for quantitative comparison between resins. A method is presented which employs the discrete Fourier transform to obtain the Fourier series coefficients from LAOS loops. 相似文献
82.
High-frequency excitation may affect the slow behavior of a dynamical system. For example, equilibria may move, disappear, or gain or loose stability. We consider such slow effects of fast excitation for a simple mechanical system that incorporates features of many engineering structures. The study is intended to contribute to the general understanding of periodically excited linear and nonlinear systems, as well as to the current attempts to utilize high-frequency excitation for altering the low-frequency properties of structures. 相似文献
83.
基于AutoCAD的有限元建模系统AutoFEM 总被引:2,自引:1,他引:2
介绍了基于AutoCAD平台开发应用程序的主要特点和在AutoFEM中采用的软件接口方案,数据模型及所见即所得等。 相似文献
84.
本文以调和函数的边值问题为例,探讨了边界积分方程的充要条件.文中首次提出了超定问题的概念,并建立了超定问题有解的一个充要条件,它也就是直接变量边界积分方程的一个充要条件.文中首次阐明了边界积分方程与变分原理的内在的联系,还指出了间接变量与直接变量两类边界积分方程之间存在着一一对应的关系.文中的慨念、思路和论点不难用于其它有变分原理的问题的边界积分方程. 相似文献
85.
过载-振动复合环境下液浮积分陀螺仪动力学分析 总被引:8,自引:0,他引:8
采用有限元数值计算方法对液浮积分陀螺仪在过载—振动复合环境中的动力学特性进行研究。对液浮积分陀螺仪浮子组件谐态和模态进行了分析计算,获得了复合载荷下浮子组件质心的附加偏移的数据,从而为分析陀螺仪的附加误差提供了依据。 相似文献
86.
The dynamic thermomechanical problem for thin-walled laminated elements is formulated based on the geometrically linear theory and Kirchhoff–Love hypotheses. A simplified model of vibrations and dissipative heating of structurally inhomogeneous inelastic bodies under harmonic loading is used. The mechanical properties of materials are described using strain-dependent complex moduli. A nonstationary vibration-heating problem is solved. The dissipative function, derived from the stationary solution, is used to specify internal heat sources. The amplitude–frequency characteristics and spatial distributions of the main field variables are studied for a sandwich beam subjected to forced vibrations 相似文献
87.
We consider the inverse problem of identifying the density and elastic moduli for three-dimensional anisotropic elastic bodies, given displacement and traction measurements made at their surface. These surface measurements are modelled by the dynamic Dirichlet-to-Neumann map on a finite time interval. For linear or nonlinear anisotropic hyperelastic bodies we show that the displacement-to-traction surface measurements do not change when the density and elasticity tensor in the interior are transformed tensorially by a change of coordinates fixing the surface of the body to first order. Our main tool, a new approach in inverse problems for elastic media, is the representation of the equations of motion in a covariant form (following Marsden and Hughes, 1983) that preserves the underlying physics.In the case of classical linear elastodynamics we then investigate how the type of anisotropy changes under coordinate transformations. That is, we analyze the orbits of general linear, anisotropic elasticity tensors under the action by pull-back of diffeomorphisms that fix the surface of the elastic body to first order, and derive a pointwise characterization of parts of the orbits under this action. For example, we show that the orbit of isotropic elastic media, at any point in the body, consists of some transversely isotropic and some orthotropic elastic media. We then derive the first uniqueness result in the inverse problem for anisotropic media using surface displacement-traction data: uniqueness of three elastic moduli for tensors in the orbit of isotropic elasticity tensors.
†Partially supported by an MSRI Postdoctoral Fellowship. Research at MSRI is supported in part by NSF grant DMS-9850361. This work was conducted while the first author was a Gibbs Instructor at Yale University.
‡Partially supported by an MSRI Postdoctoral Fellowship, and by NSF grant DMS-9801664 (9996350). 相似文献
88.
89.
复杂无粘流场数值模拟的矩形/三角形混合网格技术 总被引:5,自引:0,他引:5
建立了一套模拟复杂无粘流场的矩形/三角形混合网格技术,其中三角形仅限于物面附近,发挥非结构网格的几何灵活性,以少量的网格模拟复杂外型;同时在以外的区域采用矩形结构网格,发挥矩形网格计算简单快速的优势,有效地克服全非结构网格计算方法需要较大内存量和较长CPU时间的不足.混合网格系统由修正的四分树方法生成.将NND有限差分与NND有限体积格式有机地融合于混合网格计算,消除了全矩形网格模拟曲边界的台阶效应,同时保证了网格间的通量守恒.数值实验表明本方法在模拟复杂无粘流场方面的灵活性和高效性. 相似文献
90.
A nonsymmetric quasistationary problem for a strip with initial stresses is solved under the linearized theory of elasticity for harmonic and Bartenev–Khazanovich potentials. The Hankel integral transform is used to solve the differential equations that describe the stress–strain state of the strip. The dependences of the normal and tangential stresses and stress intensity factors on the elongation are plotted 相似文献