The mass-normalized stiffness matrix of the star spring-mass system is an arrowhead matrix. Given two eigenpairs of the arrowhead matrix. It is assumed that the total mass of a star spring-mass system is known. The problem of constructing the physical elements of the system from the known data is considered. The necessary and sufficient conditions for the construction of a physical realizable system with positive mass and spring stiffness are established. If these conditions are satisfied, the system may be constructed uniquely.
An Inverse Eigenvalue Problem for Star Spring-Mass System
CEABM, International Conference on Civil Engineering, Architecture and Building Materials, 2 ; 3348-3351
Applied Mechanics and Materials ; 166-169
2012
4 Seiten
Aufsatz (Konferenz)
Englisch
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