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Efficient Nonlinear Transient Dynamic Analysis for Structural Optimization Using an Exact Integral Equation Formulation

Efficient Nonlinear Transient Dynamic Analysis for Structural Optimization Using an Exact Integral Equation Formulation PDF Author: Joshua H. Gordis
Publisher:
ISBN:
Category : Earthquake resistant design
Languages : en
Pages : 77

Book Description
This report serves to document progress made to date on the National Science Foundation Project #97-13481, Earthquake Hazard Mitigation Program. The focus of this phase of the project is the development of an improved solution algorithm for fast transient analysis of large, locally nonlinear structures using time domain structural synthesis. The report documents the development of several algorithms intended to improve upon the original algorithm developed by the first author. The last algorithm developed meets the stated goals of the project. This algorithm is a newly developed recursive, block by block convolution solution to the governing nonlinear integral equation. As is demonstrated with a realistically large nonlinear base excitation problem (51, 300 DOF finite element model), the new algorithm provides a 78% reduction in time required for the nonlinear transient base excitation solution, as compared with traditional direct integration. The new algorithm provides an even greater reduction in computer time for subsequent analysis. The nonlinear base isolation solutions calculated using the new algorithm take approximately 7 seconds, as compared with the direct integration solution which takes approximately 30 minutes. The rapid reanalysis capability will facilitate the development of numerical optimization for the design of nonlinear isolation. The theory of transient synthesis is documented, along with a new proof of the exponential convergence properties of an iterative solution to the governing nonlinear integral equation.

Efficient Nonlinear Transient Dynamic Analysis for Structural Optimization Using an Exact Integral Equation Formulation

Efficient Nonlinear Transient Dynamic Analysis for Structural Optimization Using an Exact Integral Equation Formulation PDF Author: Joshua H. Gordis
Publisher:
ISBN:
Category : Earthquake resistant design
Languages : en
Pages : 77

Book Description
This report serves to document progress made to date on the National Science Foundation Project #97-13481, Earthquake Hazard Mitigation Program. The focus of this phase of the project is the development of an improved solution algorithm for fast transient analysis of large, locally nonlinear structures using time domain structural synthesis. The report documents the development of several algorithms intended to improve upon the original algorithm developed by the first author. The last algorithm developed meets the stated goals of the project. This algorithm is a newly developed recursive, block by block convolution solution to the governing nonlinear integral equation. As is demonstrated with a realistically large nonlinear base excitation problem (51, 300 DOF finite element model), the new algorithm provides a 78% reduction in time required for the nonlinear transient base excitation solution, as compared with traditional direct integration. The new algorithm provides an even greater reduction in computer time for subsequent analysis. The nonlinear base isolation solutions calculated using the new algorithm take approximately 7 seconds, as compared with the direct integration solution which takes approximately 30 minutes. The rapid reanalysis capability will facilitate the development of numerical optimization for the design of nonlinear isolation. The theory of transient synthesis is documented, along with a new proof of the exponential convergence properties of an iterative solution to the governing nonlinear integral equation.

Efficient Nonlinear Transient Dynamic Analysis of Structural Optimization Using an Exact Integral Equation Formulation

Efficient Nonlinear Transient Dynamic Analysis of Structural Optimization Using an Exact Integral Equation Formulation PDF Author: Joshua H. Gordis
Publisher:
ISBN: 9781423541097
Category :
Languages : en
Pages : 81

Book Description
This report serves to document progress made to date on the National Science Foundation Project #97-13481, Earthquake Hazard Mitigation Program. The focus of this phase of the project is the development of an improved solution algorithm for fast transient analysis of large, locally nonlinear structures using time domain structural synthesis. The report documents the development of several algorithms intended to improve upon the original algorithm developed by the first author. The last algorithm developed meets the stated goals of the project. This algorithm is a newly developed recursive, block by block convolution solution to the governing nonlinear integral equation. As is demonstrated with a realistically large nonlinear base excitation problem (51, 300 DOF finite element model), the new algorithm provides a 78% reduction in time required for the nonlinear transient base excitation solution, as compared with traditional direct integration. The new algorithm provides an even greater reduction in computer time for subsequent analysis. The nonlinear base isolation solutions calculated using the new algorithm take approximately 7 seconds, as compared with the direct integration solution which takes approximately 30 minutes. The rapid reanalysis capability will facilitate the development of numerical optimization for the design of nonlinear isolation. The theory of transient synthesis is documented, along with a new proof of the exponential convergence properties of an iterative solution to the governing nonlinear integral equation.

Recursive Block-by-Block Integral Equation Solution for Transient Dynamic Analysis with Memory-Type Elements

Recursive Block-by-Block Integral Equation Solution for Transient Dynamic Analysis with Memory-Type Elements PDF Author: Al V. Jarque
Publisher:
ISBN: 9781423529736
Category :
Languages : en
Pages : 108

Book Description
An efficient method of computing structural response of multi-story nonlinear base isolated buildings for a given seismic event is presented. Using a recursive block-by-block convolution (RBBIEF) solution to the governing nonlinear Volterra integral equation, structural base motion acting through an arbitrary number of nonlinear base isolators can be computed quickly and accurately. The general solution to the governing nonlinear Volterra integral is formulated and subsequently converted into code using MATLAB. The procedure incorporates modal properties, computed from conventional finite element (FE) techniques, and the generated MATLAB programs to solve a varying set of multi- degree of freedom structures coupled to both linear and nonlinear isolators. Ultimately, an analysis is conducted on a 30-story building that was overly designed using the 1994 Load Resistance Factor Design Ref. 1 and the 1994 Uniform Building Codes Ref. 2 for earthquake loading. The method demonstrates that the Volterra integration scheme in the time domain is very effective and efficient.

Structural Dynamic Systems Computational Techniques and Optimization

Structural Dynamic Systems Computational Techniques and Optimization PDF Author: Cornelius T. Leondes
Publisher: CRC Press
ISBN: 9789056996581
Category : Technology & Engineering
Languages : en
Pages : 284

Book Description
There are various techniques to optimize either structural parameters, or structural controllers, but there are not many techniques that can simultaneously optimize the structural parameters and controller. The advantage of integrating the structural and controller optimization problems is that structure and controller interaction is taken into account in the design process and a more efficient overall design (lower control force/lighter weight) can be achieved, and also multidisciplinary design optimization can be performed. The down side is that the combined optimization problem is more difficult to formulate and solve, and computations are increased. This volume is a comprehensive treatment of dynamic analysis and control techniques in structural dynamic systems and the wide variety of issues and techniques that fall within this broad area, including the interactions between structural control systems and structural system parameters.

Investigations in Structural Optimization of Nonlinear Problems Using the Finite Element Method

Investigations in Structural Optimization of Nonlinear Problems Using the Finite Element Method PDF Author:
Publisher:
ISBN:
Category :
Languages : en
Pages :

Book Description


Advances in Marine Structures

Advances in Marine Structures PDF Author: Carlos Guedes Soares
Publisher: CRC Press
ISBN: 0203808118
Category : Technology & Engineering
Languages : en
Pages : 732

Book Description
In recent years significant advances have been made in the development of methods and modeling procedures for structural assessment of marine structures. Various assessment methods are incorporated in the methods used to analyze and design efficient ship structures, as well as in the methods of structural reliability to be used to ensure the safety

Scientific and Technical Aerospace Reports

Scientific and Technical Aerospace Reports PDF Author:
Publisher:
ISBN:
Category : Aeronautics
Languages : en
Pages : 702

Book Description


Tamkang Journal of Science and Engineering

Tamkang Journal of Science and Engineering PDF Author:
Publisher:
ISBN:
Category : Engineering
Languages : en
Pages : 520

Book Description


Applied mechanics reviews

Applied mechanics reviews PDF Author:
Publisher:
ISBN:
Category : Mechanics, Applied
Languages : en
Pages : 400

Book Description


ICCS21

ICCS21 PDF Author: Antonio J.M. Ferreira
Publisher: Società Editrice Esculapio
ISBN: 8893850796
Category : Technology & Engineering
Languages : en
Pages : 160

Book Description
It is well-known that the topic of composite mate- rials affects many engineering fields, such as civil, mechanical, aerospace, automotive and chemical. In the last decades, in fact, a huge number of scientific papers concerning these peculiar constituents has been published. Analogously, the industrial progress has been extremely noticeable. The study of composite materials, in general, is a challenging activity since the advancements both in the academia and in the industry provide continually new sparks to develop innovative ideas and applications. The communication, the sharing and the exchange of views can surely help the works of many researchers. This aspect represents the main purpose of this Conference, which aims to collect high-level contributions on the development and the application of composite materials. The establishment of this 21st edition of International Conference on Composite Structures has appeared appropriate to continue what has been begun during the previous editions. ICCS wants to be an occasion for many researchers from each part of the globe to meet and discuss about the recent advancements regarding the use of composite structures, sandwich panels, nanotechnology, bio-composites, delamination and fracture, experimental methods, manufacturing and other countless topics that have filled many sessions during this conference. As a proof of this event, which has taken place in Bologna (Italy), selected plenary and key-note lectures have been collected in the present book.