原文传递
Enhanced Rayleigh Damping Model for Dynamic Analysis of Inelastic Structures
| 题名： | Enhanced Rayleigh Damping Model for Dynamic Analysis of Inelastic Structures |
| 正文语种： | 英文 |
| 作者： | Mohammad Salehi; Petros Sideris |
| 作者单位： | Rice Univ., Houston;Texas A&M Univ., College Station |
| 关键词： | rayleigh；structure；analysis；dynamic；mping；stic；model；damp；present；last |
| 摘要： | This paper presents an Enhanced Rayleigh damping model for dynamic analysis of inelastic structures. The conventional Rayleigh damping model has been extensively used to represent inherent energy dissipation sources in structures. However, when used in the analysis of inelastic structures, the Rayleigh damping model predicts unrealistically large damping reactions, a problem that has proven partially treatable by substituting the initial stiffness matrix with its tangent counterpart in the damping matrix formulation. However, using the tangent stiffness matrix in the Rayleigh damping model results in two major deficiencies, which are shown in this study to generate physically inadmissible responses: (1) negative definite damping matrices during softening, which produce destabilizing, as opposed to resisting, damping forces, and generate energy instead of dissipating it, thereby violating basic thermodynamics; and (2) instantaneous jumps一temporal discontinuities一in the damping reactions due to abrupt changes in the tangent stiffness matrix, which lead to numerical convergence failures. To eliminate these deficiencies, this study enhances the Rayleigh formulation by (1) eliminating the negative eigenvalues of element tangent stiffness matrices used to build the damping matrix, ensuring its positive semidefiniteness; and (2) introducing a first-order differential model that imposes continuous time variation of the element tangent stiffness matrices used to build the damping matrix, thereby ensuring temporal continuity of the damping reactions. Evaluation of the proposed damping model shows its effectiveness in eliminating the aforementioned deficiencies, while comparisons with other variations of the Rayleigh model demonstrate the effect of the aforementioned deficiencies on structural response predictions. |
| 出版日期： | 2020.10 |
| 出版年： | 2020 |
| 期刊名称： | Journal of Structural Engineering |
| 卷： | Vol.146 |
| 期： | No.10 |
| 页码： | 04020216 |
相关文献
- Implementation of Rayleigh Damping for Local Nonlinear Dynamic Analysis Based on a Matrix Perturbation Approach
- Influence of Viscous Damping Models on the Inelastic Response of Reinforced Concrete Columns and Bridges
- Elastic Velocity Damping Model for Inelastic Structures
- Exact Sensitivity of Nonlinear Dynamic Response with Modal and Rayleigh Damping Formulated with the Tangent Stiffness
- Nonlinear Material Loss Factors of Single-Layer Latticed Domes Subjected to Earthquake Ground Motions
- Dimensional Analysis of Inelastic Structures with Negative Stiffness and Supplemental Damping Devices
检索历史
应用推荐
