Flexural vibration and power flow analyses of axially loaded beams with general boundary and non-uniform elastic foundations

Vibration Analysis of Non-Uniform Beams Resting on Elastic Foundations Using the Spline Collocation Method

The natural frequencies of non-uniform beams resting on elastic foundations are numerically obtained using the spline collocation procedure. The spline collocation method is a numerical approach effective at solving partial differential equations. The boundary conditions that accompanied the spline collocation procedure were used to convert the partial differential equations of non-uniform beam...

Stability and vibration analyses of tapered columns resting on one or two-parameter elastic foundations

This paper presents a generalized numerical method to evaluate element stiffness matrices needed for the free vibration and stability analyses of non-prismatic columns resting on one- or two-parameter elastic foundations and subjected to variable axial load. For this purpose, power series approximation is used to solve the fourth–order differential equation of non-prismatic columns with v...

Analysis of Free Vibration of Triangular Plates with Non-Uniform Linear Thickness and Arbitrary Boundary Conditions

Analysis of Free Vibration of Triangular Plates with Non-Uniform Linear Thickness and Arbitrary Boundary Conditions

Free flexural vibration analysis of stiffened plates with general elastic boundary supports

The free flexural vibration of a stiffened rectangular plate is investigated by using the finite element method (FEM). In the present model, the plate can have arbitrary elastic boundary conditions and arbitrarily located stiffeners. Numerical studies are conducted to analyze the natural frequencies of concentrically/eccentrically stiffened plates with different boundary conditions and the resu...