Improved component-mode synthesis for nonclassically damped systems

An improved technique of the component-mode synthesis for nonclassically damped systems with the second-order approximation is proposed in this paper. It is based on free-interface vibration modes and residual attachment modes or residual inertia-relief attachment modes complemented with dynamic effects of the truncated modes. Both nondefective and defective components are considered, and the relationships between them are discussed. A new criterion for the selection of the component vibration modes is developed in the frequency domain. State-level synthesis procedures are naturally employed in the new formulations presented herein. The accuracy and effectiveness of the present synthesis method are demonstrated and are compared with those of the static approach via numerical examples, and also the validity of the modes selection criterion is also proved by these examples.