Joint Flexibility Effects on the Dynamic Response of Structures - Part 1: Deterministic Analysis
Abstract
The objective of this study is to investigate the effect of the flexible connections on the dynamic behavior of structures. To take into account the uncertainties in their values, the stiffness of the connections are regarded as random variables. In the first part of the report the problem is studied from a deterministic point of view in order to develop the analytical models and expressions required for a stochastic analysis. A bibliographic review of the deterministic analysis of structures with non-rigid joints and analysis of structures with random parameters is presented. A finite element model that includes the effect of the flexibility and finite size of the connections is formulated. By using a variational approach it is shown that the mass matrix is also affected by the flexible connections A sensitivity analysis is carried out to assess how the natural frequencies and modal shapes are affected by the variation in the stiffness of the joints. Closed from expressions to calculate the derivatives of the eigenvalues and eigenvectors are provided. Flexible connections, Finite element models, Sensitivity analysis, Perturbation Methods.
Document Details
- Document Type
- Technical Report
- Publication Date
- Dec 01, 1992
- Accession Number
- ADA260487
Entities
People
- Enrique E. Matheu
- Luis E. Suarez
Organizations
- University of Puerto Rico at Mayaguez