Optimal design of minimum mass structures for a generalized Sturm-Liouville problem on an interval and a metric graph

We derive an optimal design of a structure that is described by a Sturm-Liouville problem with boundary conditions that contain the spectral parameter linearly. In terms of Mechanics, we determine necessary conditions for a minimum-mass design with the specified natural frequency for a rod of no...

Full description

Bibliographic Details
Main Authors: Boris P. Belinskiy, David H. Kotval
Format: Article
Language:English
Published: Texas State University 2018-05-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2018/119/abstr.html