Solution Techniques for Linear and Nonlinear Dynamics of Structures Modeled Finite Elements
- Type of resource
- Date created
This series includes technical reports prepared by faculty, students and staff who are associated with the John A. Blume Earthquake Engineering Center at Stanford University. While the primary focus of Blume Center is earthquake engineering, many of the reports in this series encompass broader topics in structural engineering and materials, computational mechanics, geomechanics, structural health monitoring, and engineering life-cycle risk assessment. Each report includes acknowledgments of the specific sponsors for the report and underlying research. In addition to providing research support, the Blume Center provides administrative support for maintaining and disseminating the technical reports. For more information about the Blume Center and its activities, see https://blume.stanford.edu.
- Adeli, H (Author)
Dynamic analysis is rapidly becoming a common consideration in the design of structures, especially in determining response to earthquake ground motions. Methods for linear dynamic analysis of complex structures (where the material is assumed to be linearly elastic and displacements are small) were developed during the last two decades and are now well known. However, in many cases inelastic behavior of structures must be taken into account in order to obtain an economic and safe design. Nonlinear dynamic analysis of structures is a rather new field, and many researchers are actively investigating different aspects of the subject. Some of the important applications of nonlinear analysis are found in the design of missiles, aircraft, nuclear reactors, transportation vehicles, multi-story buildings located in seismic regions, etc. Dynamic analysis of complex structures by the finite element method is performed in two major steps. The first is to develop a finite number of equations of motion, and the second step is to solve these equations for the response at the nodes and the stresses within the elements. For large problems with several hundreds (or thousands) of degrees of freedom, the selection of an efficient algorithm for solving the equations of motion becomes a very important factor. This is especially true for nonlinear analysis, for which the cost of computations is an order of magnitude higher than that for linear analysis.
- Preferred Citation
- Adeli, H. (1976). Solution Techniques for Linear and Nonlinear Dynamics of Structures Modeled Finite Elements. John A. Blume Earthquake Engineering Center Technical Report 23. Stanford Digital Repository. Available at: http://purl.stanford.edu/qr128pd3351
- Related item
- John A. Blume Earthquake Engineering Center
- Use and reproduction
- User agrees that, where applicable, content will not be used to identify or to otherwise infringe the privacy or confidentiality rights of individuals. Content distributed via the Stanford Digital Repository may be subject to additional license and use restrictions applied by the depositor.