The aim of this study is the investigation of the large amplitude deflection of an Euler-Bernoulli beam subjected to an axial load on a viscoelastic foundation with the strong damping. In order to achieve this purpose, the beam nonlinear frequency has been calculated by homotopy perturbation method (HPM) and Hamilton Approach (HA) and it was compared by the exact solutions for the different bou...

this article studied static deflection, natural frequency and nonlinear vibration of a clamped-clamped microbeam under discontinues electrostatic actuation. the electrostatic actuation was induced by applying ac-dc voltage between the microbeam and electrode plate. in contrast to previous works, it was assumed that length of the electrode plate was smaller than that of the microbeam. in additio...

The aim of this paper is to calculate the horizontal and vertical displacements of a cantilever beam in large deflections. The proposed structure is composed with Ludwick material exhibiting a different behavior to tensile and compressive actions. The geometry of the cross-section is constant and rectangular, while the external action is a vertical constant load applied at the free end. The pro...

Command signals that can move a flexible system without residual vibration and also limit the transient deflection are very useful, but difficult to create. Historically, these types of commands have been generated via numerical optimization. A method for analytically creating deflection-limiting commands is described and evaluated. Characteristics of the command profile are presented as a func...

This paper focuses on a class of robot manipulators termed “continuum” robots—robots that exhibit behavior similar to tentacles, trunks, and snakes. In previous work, we studied details of the mechanical design, kinematics, path-planning and small-deflection dynamics for continuum robots such as the Clemson “Tentacle Manipulator.” In this paper, we discuss the dynamics of a planar continuum bac...

Mechanical modeling of RF MEMS switches is important for performance optimization and device reliability. 1-D, 2-D, and 3-D linear analytical models have been proposed to analyze the electrostatic pull-in of a fixed-fixed beam at small deflection. However, most RF MEMS switch structures work at large deflection range. In this paper, 1-D, 2-D, and 3-D nonlinear analytical models suitable for lar...

We developed a dual-probe (DP) atomic force microscopy (AFM) system that has two independently controlled probes. The deflection of each cantilever is measured by the optical beam deflection (OBD) method. In order to keep a large space over the two probes for an objective lens with a large numerical aperture, we employed the OBD sensors with obliquely incident laser beams. In this paper, we des...

In this paper, nonlinear static analysis of moderately thick plate made of functionally graded materials subjected to mechanical transverse loading is carried out using dynamic relaxation method. Mindlin first order shear deformation theory is employed to consider thick plate. Discretized equations are extracted for geometrically nonlinear behavior analysis.Loading Conditions and boundary condi...