This article presents an analysis of free vibration of elastically supported Timoshenko beams by using the spectral element method. The governing partial differential equation is elaborated to formulate the spectral stiffness matrix. Effectively, the non classical end boundary conditions of the beam are the primordial task to calibrate the phenomenon of the Timoshenko beam-soil foundation inter...

in this paper, eringen’s nonlocal elasticity and timoshenko beam theories are implemented to analyze the bending vibration for non-uniform nano-beams.  the governing equations and the boundary conditions are derived using hamilton’s principle. a generalized differential quadrature method (gdqm) is utilized for solving the governing equations of non-uniform timoshenko nano-beam for pinned-pinned...

In this paper, a relatively new method, namely variational iteration method (VIM), is developed for free vibration analysis of a Timoshenko beam with different boundary conditions. In the VIM, an appropriate Lagrange multiplier is first chosen according to order of the governing differential equation of the boundary value problem, and then an iteration process is used till the desired accuracy ...

Fiber-reinforced composites, due to their high specific strength, and stiffness, which can be tailored depending on the design requirement, are fast replacing the traditional metallic structures in the weight sensitive aerospace and aircraft industries. An analysis Timoshenko beam theory for complex composite beams is presented. Composite materials have considerable potential for wide use in ai...

1. Tummala RR (2001) Fundamentals of microsystems packaging. McGraw-Hill International Edition, New York 2. JEDEC (2002) Design standard: design requirements for outlines of solid state and related products; JEDEC Publication 95, Design Guide 4.14-1/D, Ball Grid Array Package, JEDEC Solid State Technology Association 3. Vujosevic M (2006) Warpage of flip chip packages. In: Proceedings of IMECE2...

Abstract. In this paper, we consider vibrating system of Timoshenko type in one-dimensional bounded domain with complementary past history and frictional damping controls acting only in the equation for the rotation angle. We show that the dissipation given by this complementary controls is strong enough to guarantee the stability of the system in case of the same wave propagation speeds as wel...

This paper presents a numerical study on optimal voltages and optimal placement of piezoelectric actuators for shape control of beam structures. A finite element model, based on Timoshenko beam theory, is developed to characterize the behavior of the structure and the actuators. This model accounted for the electromechanical coupling in the entire beam structure, due to the fact that the piezoe...

The lateral vibration of cracked isotropic thick beams is investigated. Generally, the analysis beam based on line elements can be undertaken using either Timoshenko theory or a third order (TSDT) such as Reddy theory. TSDT superior to theory, it eliminates need for shear correction coefficient. However, there no available solution which main focus this paper. investigated divided into several ...