Stability of Heterogeneous Beams with Three Supports—Solutions Using Integral Equations

It is our main objective to find the critical load for three beams with cross sectional heterogeneity. Each beam has supports, of which intermediate one a spring support. Determination these leads point boundary value problems (BVPs) associated homogeneous conditions—the mentioned BVPs constitute eigenvalue problems. They are solved by using novel solution strategy based on Green functions that belong BVPs: established transformed into governed Fredholm integral equations kernels can be given in closed forms provided function each BVP known. Then manipulated algebraic numerically effective algorithms. an advantage way we attack formalism and results obtained remain valid as well. The numerical forces applied solve some stability engineering practice.