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41.
The phase-space kinetic theory for polymeric liquid mixtures is used to obtain an expression for the polymer contribution to the thermal conductivity of a nonflowing, dilute solution of polymers, where the polymer molecules are modeled as Fraenkel dumbbells. This theory takes into account three mechanisms for the energy transport: diffusion of kinetic energy (including the Öttinger-Petrillo term), diffusion of intramolecular energy, and the work done against the intramolecular forces. This paper is an extension of previous developments for the Hookean dumbbell model and the finitely-extensible dumbbell model. A comparison among the dumbbell results suggests that the thermal conductivity increases with chain stiffness. In addition, the zero-shear-rate viscosity and first normal-stress coefficient are also given for the Fraenkel dumbbell model.Dedicated to Prof. John D. Ferry on the occasion of his 85th birthday. 相似文献
42.
Seismic base isolation by nonlinear mode localization 总被引:1,自引:0,他引:1
Y. Wang D. M. McFarland A. F. Vakakis L. A. Bergman 《Archive of Applied Mechanics (Ingenieur Archiv)》2005,74(5-6):387-414
Summary In this paper, the performance of a nonlinear base-isolation system, comprised of a nonlinearly sprung subfoundation tuned
in a 1∶1 internal resonance to a flexible mode of the linear primary structure to be isolated, is examined. The application
of nonlinear localization to seismic isolation distinguishes this study from other base-isolation studies in the literature.
Under the condition of third-order smooth stiffness nonlinearity, it is shown that a localized nonlinear normal mode (NNM)
is induced in the system, which confines energy to the subfoundation and away from the primary or main structure. This is
followed by a numerical analysis wherein the smooth nonlinearity is replaced by clearance nonlinearity, and the system is
excited by ground motions representing near-field seismic events. The performance of the nonlinear system is compared with
that of the corresponding linear system through simulation, and the sensitivity of the isolation system to several design
parameters is analyzed. These simulations confirm the existence of the localized NNM, and show that the introduction of simple
clearance nonlinearity significantly reduces the seismic energy transmitted to the main structure, resulting in significant
attenuation in the response.
This work was supported in part by the National Science Foundation Grant CMS 00-00060. The authors are grateful for this support. 相似文献
43.
Guoting?Chen Duo?WangEmail author Jiazhong?Yang 《Journal of Dynamics and Differential Equations》2005,17(1):3-20
Normal forms for vector fields of Hopf-zero singularity in R3 are studied. Multiple Lie bracket method is used to give unique normal forms under both conjugacy and orbital equivalence for such vector fields with a generic quadratic part.Dedicated to Professor Shui-Nee Chow on the occasion of his 60th birthday. 相似文献
44.
根据修正的余能原理,推导出一种求解复合材料层合圆柱壳的杂交应力单元。取用六面体等参单元,此单元反映了各层材料性质不同及应力分布沿整个厚度不连续现象,同时计入横向剪切变形和法向挤压变形,适用于厚层壳体。文章通过实例说明此单元能准确求出各层内的应力值,实用价值高。 相似文献
45.
For the N-degree-of-freedom of linear conservative vibratory systems, the corresponding potential functions can be viewed as N-hypersurfaces in (N + 1)-dimensional space. In this paper, a connection between the geometrical properties (principal curvatures, curvature lines) of potential surfaces and the vibratory characteristics (natural frequencies, linear modes) of the system is built. It is proved that the linear normal modes are exactly the projections of the lines of curvature on the potential surface onto the configuration space with metric mij (the mass-matrix); and that the squared natural frequencies are exactly the principal curvatures, at the origin of the configuration space, of the potential surface. 相似文献
46.
We prove the existence of a unique weak solution to the quasistatic problem of frictional contact between a deformable body
and a rigid foundation. The material is assumed to have nonlinear viscoelastic behavior. The contact is modeled with normal
compliance and the associated version of Coulomb's law of dry friction. We establish the continuous dependence of the solution
on the normal compliance function. Moreover, we prove the existence of a unique solution to the problem of sliding contact
with wear.
This revised version was published online in August 2006 with corrections to the Cover Date. 相似文献
47.
<正> 1、引言 流体运动总是同时受动力学和热力学规律的约制,通常处理流动问题时这两方面的考虑也总是交织在一起,例如,为了定义描述流动现象的诸流动变量,首先要假定每个流体质点微团是处于热力学平衡态,即假定流动系统满足“局域热平衡”条件。这样才可以定义各“点”的压力、密度、熵等变量。由于流动系统同时又是一个热力学系统,因此它的 相似文献
48.
Stability of a geothermal system is considered in a case when the water layer lies over the layer of superheated vapor in a stratum having relatively low permeability. This stratum locates between two parallel high permeable layers. Under the assumption of smallness of advective energy transfer as compared with the conductive one, the stationary distribution of the characteristics in the stratum with an interface of phase transition is obtained. The interface separates the domains occupied by water and vapor. Investigation of normal stability of the interface shows, that stable configurations in the geothermal system under consideration exist within the range of permeability values bounded by k 0.6 × 10–15 m2 from above. The most unstable configurations occur to be the quiescent states when the permeability exceeds a certain threshold. A sufficiently high value of permeability, satisfying the criterion of smallness of the advective energy transfer as compared with the conductive one makes it possible to explain the existence of a wide class of stable natural geothermal reservoirs, where the vapor layer underlies the water one. 相似文献
49.
Contribution to efficiency of irreversible passive energy pumping with a strong nonlinear attachment 总被引:1,自引:0,他引:1
The present study deals with nonlinear energy pumping which consists in passive irreversible transfer of energy from a linear
structure to a nonlinear one. Various results (theoretical, numerical, and experimental) about energy pumping based on recent
works are given. Thus, the phenomenon is studied for different excitations: transient and periodical. Moreover, advantages
of such a system are carried out in particular efficiency of this phenomenon. That is why the robustness and comparison with
classical tuned mass damper are analyzed. An application is considered with physical experiment using a reduced scale building. 相似文献
50.
Bifurcation analysis of a diffusive predator–prey system with a herd behavior and quadratic mortality 下载免费PDF全文
In this paper, a diffusive predator–prey system, in which the prey species exhibits herd behavior and the predator species with quadratic mortality, has been studied. The stability of positive constant equilibrium, Hopf bifurcations, and diffusion‐driven Turing instability are investigated under the Neumann boundary condition. The explicit condition for the occurrence of the diffusion‐driven Turing instability is derived, which is determined by the relationship of the diffusion rates of two species. The formulas determining the direction and the stability of Hopf bifurcations depending on the parameters of the system are derived. Finally, numerical simulations are carried out to verify and extend the theoretical results and show the existence of spatially homogeneous periodic solutions and nonconstant steady states. Copyright © 2014 John Wiley & Sons, Ltd. 相似文献