指定一次固有値・一次固有モードを有する梁の構造質量分布関数の境界値問題

概要

論文の詳細を見る
A new boundary value problem is formulated of finding the mass distribution function of a beam for specified fundamental eigenvalue and eigenmode. A procedure of deriving a qualification condition for a fundamental mode is illustrated for a cantilever beam. A specified mode may or may not bring forth a regular singular point of the second order differential equation with respect to the mass distribution function. It is shown that the boundary conditions for the mass distribution function can be derived from the conventional mechanical boundary condition at a boundary which is not a regular singular point. For the problem involving a regular singular point, the corresponding singular solution is derived. It is shown that such a singular solution must, however, be excluded on the basis of the finiteness requirement.
一般社団法人日本建築学会の論文
1989-03-10