Nonlinear problems of structural mechanics. Methods of optimal design of structures

2021 ◽  
Author(s):  
Boris Tuhfatullin
Keyword(s):  
Optimal Design ◽  
Steel Frames ◽  
Nonlinear Problems ◽  
Structural Mechanics ◽  
Linear And Nonlinear Programming ◽  
Several Variables ◽  
Construction Mechanics ◽  
Flat Steel ◽  
Linear And Nonlinear ◽  
Modern Technologies

The textbook discusses methods of optimal design of structures, including methods for minimizing the functions of one and several variables; methods for solving linear and nonlinear programming problems; examples of optimal design of flat steel frames with elements made of rolled and composite I-beams. It is intended for students studying in the specialty 08.05.01 "Construction of unique buildings and structures", undergraduates studying in the training program 08.04.01.24 "Modern technologies of design and construction of buildings and structures", studying the discipline "Nonlinear problems of structural mechanics", as well as for postgraduates of the direction 08.06.01 " Engineering and construction technologies. Construction of buildings and structures", studying the discipline "Construction Mechanics".

IMPROVED NEURAL NETWORKS FOR LINEAR AND NONLINEAR PROGRAMMING

1991 ◽  
Vol 02 (04) ◽  
pp. 331-339 ◽  
Author(s):  
Jiahan Chen ◽  
Michael A. Shanblatt ◽  
Chia-Yiu Maa
Keyword(s):  
Neural Network ◽  
Neural Networks ◽  
Artificial Neural Networks ◽  
Nonlinear Programming ◽  
Penalty Function ◽  
New Combination ◽  
Optimal Point ◽  
Linear And Nonlinear Programming ◽  
Linear And Nonlinear ◽  
Simulation Results

A method for improving the performance of artificial neural networks for linear and nonlinear programming is presented. By analyzing the behavior of the conventional penalty function, the reason for the inherent degenerating accuracy is discovered. Based on this, a new combination penalty function is proposed which can ensure that the equilibrium point is acceptably close to the optimal point. A known neural network model has been modified by using the new penalty function and the corresponding circuit scheme is given. Simulation results show that the relative error for linear and nonlinear programming is substantially reduced by the new method.

Implementation of Eurocode Load Cases in Optimization Problems of Steel Frames, Based on Genetic Algorithms

2013 ◽  
Vol 310 ◽  
pp. 609-613
Author(s):  
Ioana D. Balea ◽  
Radu Hulea ◽  
Georgios E. Stavroulakis
Keyword(s):  
Finite Element ◽  
Genetic Algorithms ◽  
Global Optimization ◽  
Optimal Design ◽  
Optimization Problems ◽  
Steel Frames ◽  
Global Optimization Algorithm ◽  
Planar Structures ◽  
Discrete Global Optimization ◽  
Steel Sections

This paper presents an implementation of Eurocode load cases for discrete global optimization algorithm for planar structures based on the principles of finite element methods and genetic algorithms. The final optimal design is obtained using IPE sections chosen as feasible by the algorithm, from the available steel sections from industry. The algorithm is tested on an asymmetric planar steel frame with promising results.

Linear and Nonlinear Problems of Wave Resistance to the Movement of Objects Along Elastic Guides

2020 ◽  
pp. 97-121
Author(s):  
Vladimir I. Erofeev ◽  
Sergey I. Gerasimov ◽  
Elena E. Lisenkova ◽  
Alexey O. Malkhanov ◽  
Vladimir M. Sandalov
Keyword(s):  
Nonlinear Problems ◽  
Wave Resistance ◽  
Linear And Nonlinear

Error estimation for linear and nonlinear problems

2017 ◽  
pp. 183-194 ◽  
Author(s):  
Antonio Huerta ◽  
Pedro Díez ◽  
Juan José Egozcue
Keyword(s):  
Error Estimation ◽  
Nonlinear Problems ◽  
Linear And Nonlinear
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