Modal Analysis of Linear Dynamic Systems: Physical Interpretation
نویسنده
چکیده
The modal analysis procedure for calculating the dynamic response of classically damped linear structural systems is reformulated with the objective of developing the physical significance of the elements of the solution and defining modal contribution factors. The resulting concepts are used to develop an approach for predicting how the relative contributions of various modes to the response and the number of modes that should be included in the solution depend on the vibration properties of the system, on the response quantity of interest, and on (1) the spatial distribution and time variation of applied dynamic forces in the case of forceexcited systems, or (2) the response (or design) spectrum for an earthquake excitation. To illustrate this approach, numerical results are presented for a five-story frame for a wide range of parameters and a base-isolated building.
منابع مشابه
An Engineering Interpretation of the Complex Eigensolution ofLinear Dynamic Systems
In traditional finite element based modal analysis of linear non-conservative structures, the modal shapes are determined solely based on stiffness and mass. Damping effects are included by implicitly assuming that the damping matrix can be diagonalized by the undamped modes. The approach gives real valued mode shapes and modal coordinates. While this framework is suitable for analysis of most ...
متن کاملAnnouncing the Final Examination of Bryan Paul for the degree of Master of Science Time & Location: March 20, 2013 at 1:00 PM in ENG II 426 Title: ANALYTICAL AND EXPERIMENTAL STUDY OF MONITORING FOR CHAIN-LIKE NONLINEAR DYNAMIC SYSTEMS
Inverse analysis of nonlinear dynamic systems is an important area of research in the field of structural health monitoring for civil engineering structures. Structural damage usually involves localized nonlinear behaviors of dynamic systems that evolve into different classes of nonlinearity as well as change system parameter values. Numerous parametric modal analysis techniques (e.g., eigensys...
متن کاملAnnouncing the Final Examination of Bryan Paul for the degree of Master of Science Time & Location: March 20, 2013 at 1:00 PM in ENG II 426 Title: ANALYTICAL AND EXPERIMENTAL STUDY OF MONITORING FOR CHAIN-LIKE NONLINEAR DYNAMIC SYSTEMS
Inverse analysis of nonlinear dynamic systems is an important area of research in the field of structural health monitoring for civil engineering structures. Structural damage usually involves localized nonlinear behaviors of dynamic systems that evolve into different classes of nonlinearity as well as change system parameter values. Numerous parametric modal analysis techniques (e.g., eigensys...
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