Strongly Damped Quadratic Matrix Polynomials
نویسنده
چکیده
We study the eigenvalues and eigenspaces of the quadratic matrix polynomial Mλ + sDλ + K as s → ∞, where M and K are symmetric positive definite and D is symmetric positive semi-definite. The work is motivated by its application to modal analysis of finite element models with strong linear damping. Our results yield a mathematical explanation of why too strong damping may lead to practically undamped modes such that all nodes in the model vibrate essentially in phase.
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ورودعنوان ژورنال:
- SIAM J. Matrix Analysis Applications
دوره 36 شماره
صفحات -
تاریخ انتشار 2015