Two extremum theorems applicable to stability analyses of a mechanical system
Two mathematical theorems and their proofs, applicable to stability investigations of mechanical systems, are presented. The theorems permit a determination of the stability of systems undergoing large displacements by means of a defined extremum function and without recourse to a study of higher variations of the total potential. An application to a simple mechanical system with one degree of freedom is given.
scientific article; zbMATH DE number 3919889