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One of the main structural elements metalworking machines is spindle assembly (spindle), which used to hold cutting tools or workpieces. The rigidity plays a decisive role in ensuring accuracy and efficiency machine as whole. assessment shaft stiffness carried out on basis analysis static bending shaft, made it possible formulate solve problems optimizing according characteristics for two suppo...

a new three-dimensional unit cell model has been developed for modeling three constituent phases including inclusion, interphase and matrix. the total elastic modulus of nano-composite is evaluated.  numerical results are in good agreement with the previous proposed theoretical modeling. higher matrix and inclusion elastic modulus both can dramatically influence the total elastic modulus.

We study the evolution of the elastic shear modulus of weakly aggregated colloidal particles during the onset of a delayed collapse under gravity. The early lifetime is characterised by an elastic shear modulus that increases logarithmically in time, following which the gels experience a catastrophic failure and the elastic modulus drops dramatically. As the gel collapses, various complex behav...

Biological materials typically consist of elastic fibers immersed in an incompressible aqueous milieu. We consider the generality of an elastic material expressed as a fiberreinforced incompressible fluid. We show that, in the linear regime, any (possibly inhomogeneous and/or anisotropic) incompressible elastic material can be represented as a collection of fifteen families of straight, paralle...

in this paper, the numerical technique based on hybrid bernoulli and block-pulse functions has been developed to approximate the solution of system of linear volterra integral equations. system of volterra integral equations arose in many physical problems such as elastodynamic, quasi-static visco-elasticity and magneto-electro-elastic dynamic problems. these functions are formed by the hybridi...