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Abstract In this thesis we study the rotation of viseoelastic nonhomogenous disks with variable thickness and density. The method used for solving a given boundary value problem depends on whether the corresponding elastic problem is solved analytically or numerically. The thesis contains three chapters, In Chapter 1 We recapitulate the basic equations of elasticity, which included, dynamical equations of motion, straindisplacement relations, compatibility conditions, boundary conditions axisymmetric problems, material symmetries and orthotropic materials, nonhomogenous materials, and two dimension problems Chapter 2 Devoted to study the linear theory of viscoelasticity for structural anisotropic media. We recapitulate some auxiliary fundamental concepts and basic notations which are used later, the creep test, the relaxation test and correspondence principles. Stressstrain relation for linear viscoelastic anisotropic media is recovered, effective moduli, and methods for solving quasistatic viscoelastic problems in composite materials. Quasistatic problems in nonisotropic is recapitulated and its solution by the generalization of Illyushin?s approximation method for composite material In Chapter 3 Analytical solution is developed for the analysis of deformation and stresses in elastic rotating nonhomogenous disks with arbitrary crosssections of continuously variable thickness and density. The disk may be solid or annular and made of an orthotropic fiberreinforced viscoelastic composite material with equal or different Young?s moduli. Using the method of effective moduli makes the reduction of the problem to that of a homogeneous anisotropic material. Numerical computations were carried out to solve this problem and the results show that how the displacement and stresses distributions through the radial direction vary with different parameters. |