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Nonlinear Dynamics - We investigate the control of friction-induced vibration in a precision motion stage under the effect of the LuGre friction dynamics. We consider a lumped parameter model of... 相似文献
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In this work, we study the existence, uniqueness, and exponential asymptotic behavior of mild solutions to stochastic integrodifferential delay evolution equations. We assume that the non-delay part generates a C0-semigroup. 相似文献
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We study the asymptotic behavior of weak solutions to the stochastic 3D Navier-Stokes-α model as α approaches zero. The main result provides a new construction of the weak solutions of stochastic 3D Navier-Stokes equations as approximations by sequences of solutions of the stochastic 3D Navier-Stokes-α model. 相似文献
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Study of effective behavior of heterogeneous materials, starting from the properties of the microstructure, represents a critical
step in the design and modeling of new materials. Within this framework, the aim of this work is to introduce a general internal
variables approach for scale transition problem in linear viscoelastic case. A new integral formulation is established, based
on the complete taking into account of field equations and differential constitutive laws of the heterogeneous problem, in
which the effects of elasticity and viscosity interact in a representative volume element. Thanks to Green’s techniques applied
to space convolution’s term, a new concentration relation is obtained. The step of homogenization is then carried out according
to the self-consistent approximation. The results of the present model are illustrated and compared with those provided by
Hashin’s and Rougier’s ones, considered as references, and by internal variables models such as those of Weng and translated
fields. 相似文献
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This work deals with the global existence of weak solutions for a Kazhikhov–Smagulov type system with a density which may or not vanish. Our model is formally equivalent to the physical compressible model with Fick’s law, in contrast to those in previous works. This model may be used for addressing environmental problems such as propagation of pollutants and avalanche modelling. We also explain why this system may be seen as a physical regularization of the standard nonhomogeneous incompressible Navier–Stokes equations and we give an existence result with an initial density less regular but away from the vacuum. 相似文献
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Nonlinear Dynamics - Recent focus has been given to spectro-spatial analysis of nonlinear metamaterials since they can predict interesting nonlinear phenomena not accessible by spectral analysis... 相似文献