Abstract: New frequency and normal mode equations for flexural vibrations of six common types of simple, finite beams are presented. The derivation includes the effect of rotatory inertia and transverse-shear ...

Abstract: A self-sustained two-degrees-of-freedom system with nonlinear damping is investigated. The analysis, which involves the application of the van der Pol method and the Andronow and Witt method, ...

Abstract: A method of displacement analysis of the four-link spatial mechanism is developed. The results through this analysis will be exact solutions that can be obtained without resorting to numerical ...

Abstract: The problem of a two-dimensional elastic system moving on a beam is considered. The moving elastic system or vehicle is represented by the structural members with distributed stiffness, damping, ...

Abstract: A study has been made to analytically determine the angular precession and critical speeds of two-bearing machines with overhung weight. The gyroscopic moment (when rotating), rotatory inertia ...

Abstract: In a previous paper, the correspondence principle has been applied to derive the differential equations of motion of viscoelastic Timoshenko beams with or without external viscous damping. To ...

Abstract: Free vibrations of an underwater elastic hemispherical thin shell with fixed edge have been investigated based on the bending theory. The solution of this fluid-solid interaction problem involves ...

Abstract: The correspondence principle has been applied to derive the differential equations of viscoelastic Timoshenko beams with external viscous damping. These equations are solved by Laplace transform ...

Abstract: Compatibility and modal coupling, using Lagrangian multipliers as coupling mechanisms, establishes the dynamic influence of isotropic flat plates on spatial vibratory structures containing arbitrary ...

Abstract: The orthogonality condition for vibrating three-dimensional framed structures has been directly applied to solve initial value problems. In solving the dynamic response problems due to force and ...