The forced harmonic vibration analysis of portal frames consisting of viscously damped beams with spatial stochastic variation of mass and sti ness properties is considered. The analysis is based on the assembly of element stochastic dynamic sti ness matrices. The solution involves inversion of the
Dynamic analysis of structures with Maxwell model
β Scribed by Hatada, Tomohiko; Kobori, Takuji; Ishida, Masatoshi; Niwa, Naoki
- Publisher
- John Wiley and Sons
- Year
- 2000
- Tongue
- English
- Weight
- 216 KB
- Volume
- 29
- Category
- Article
- ISSN
- 0098-8847
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β¦ Synopsis
A numerical method has been developed for the dynamic analysis of a tall building structure with viscous dampers. Viscous dampers are installed between the top of an inverted V-shaped brace and the upper beam on each storey to reduce vibrations during strong disturbances like earthquakes. Analytically, it is modelled as a multi-degree-of freedom (MDOF) system with the Maxwell models. First, the computational method is formulated in the time domain by introducing a "nite element of the Maxwell model into the equation of motion in the discrete-time system, which is based on the direct numerical integration. Next, analyses for numerical stability and accuracy of the proposed method are discussed. The results show its numerical stability. Finally, the proposed method is applied to the numerical analysis of a realistic building structure to demonstrate its practical validity.
π SIMILAR VOLUMES
The dynamic analysis of sliding structures is complicated due to the presence of friction. Synchronization of the kinematics of all the isolation bearings is often granted to simplify the task. This, however, may lead to inaccurate prediction of the structural responses under certain circumstances.
A exibility-based formulation of a new mass matrix for the dynamic analysis of spatial frames consisting of curved elements with variable cross-sections is presented. The main characteristic of such formulations is the exact equilibrium of forces at any interior point, with no additional hypotheses