A constrained eigenvalue problem and nodal and modal control of vibrating systems

作者：Ram Y M^*

来源：Proceedings of the Royal Society A-Mathematical Physical and Engineering Sciences, 2010, 466(2115): 831-851.

DOI：10.1098/rspa.2009.0426

• singular generalized eigenvalue problem
• constrained eigenvalue problem
• nodal assignment
• observability
• output controllability

A constrained non-homogeneous linear eigenvalue problem is introduced. The application given to the problem is of finding the frequency and amplitudes of exciting forces that impose constraints on the configurations of vibratory modes. The scope of the problem is wider. It is shown that the problem may be transformed to a singular unsymmetric generalized eigenvalue problem. Depending on the given data the problem may have finite, infinite or empty spectrum. The solvability of the problem is analysed. Examples demonstrate the application and the various results.

• 出版日期2010-3-8