@article{oai:ir.kagoshima-u.ac.jp:00002262,
 author = {MINAKAWA, Youichi and 皆川, 洋一},
 journal = {鹿児島大学工学部研究報告, The research reports of the Faculty of Engineering, Kagoshima University},
 month = {Sep},
 note = {There are many papers which deal with problems of the dynamic stability in elasticity under periodic force. In these systems, the deformation before instability is symmetric deformation and the deformation after instability is asymmetric deformation.
In conventional treatment of the systems, the symmetric deformation modes are assumed to be solved under separate variables from the asymmetric deformation modes.
Assuming separate variables, the symmetric deformation modes are solved with linear terms, then these solutions are substituted into the equations of motion corresponding to the asymmetric deformation modes. The derived Mathieu-Hill equations are treated as the basic equations for the dynamic stability under periodic force.
In this paper the approximate procedure is not adopted, but the nonlinear equations of motion where the symmetric and the asymmetric deformation modes are coupled are analyzed by applying the method of harmonic balance.},
 pages = {115--126},
 title = {On the Strict Treatment of the Dynamic Stability in Elasticity under Periodic Force},
 volume = {21},
 year = {1979}
}