Explicit characteristic equations for integral operators arising from well-posed boundary value problems of finite beam deflection on elastic foundation

Abstract

Characteristic equations for the whole class of integral operators arising from arbitrary well-posed two-point boundary value problems of finite beam deflection resting on elastic foundation are obtained in terms of 4×4 matrices in block-diagonal form with explicit 2×2 blocks.

Keywords

• beam
• block-diagonal
• characteristic equation
• deflection
• eigenfunction
• eigenvalue
• elastic foundation
• integral operator
• spectrum