Engineering Optimization : Theory and Practice

By Singiresu S. Rao. 2010

3,277 citations recorded by the source corpus.

Subfields: Computational Theory and Mathematics, Computer Graphics and Computer-Aided Design, Numerical Analysis

View Paper: https://www.semanticscholar.org/paper/395f63a86837f5bbe8f87a7301d304a86502d350

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In Computational Theory and Mathematics

In Computer Graphics and Computer-Aided Design

In Numerical Analysis

Citations in the corpus

Truss topology optimization with static and dynamic constraints using modified subpopulation teaching–learning-based optimization (2016, background): “Positive definiteness of the global stiffness matrix (Rao 2009) to check the singularity of the trusses.”
Introducing the sequential linear programming level-set method for topology optimization (2015, methodology): “The two main approaches for solving LP problems are simplex methods and interior-point methods (Rao 2009).”
Teaching-learning-based optimization: A novel method for constrained mechanical design optimization problems (2011, neutral): “The problem is taken from [25].”
Vibration suppression of structures using tuned mass damper technology: A state-of-the-art review (2021, methodology): “Hoang and Warnitchai (2005) derived the gradient matrix of the objective function and then utilized the Davidon–Fletcher–Powell algorithm (Rao, 1996) to attain the optimum solution.”
Optimum stacking sequence design of composite materials Part II: Variable stiffness design (2010, methodology): “The optimality criteria methods are based on the derivation of an appropriate criterion for specialized design conditions and developing an iterative procedure to find the optimum design [86].”
Optimum Coordination of Overcurrent Relay Timing Using Simplex Method (2010, methodology): “If the solution is not optimal, the method provides steps for finding a neighboring basic feasible solution that is a better solution [ 22 , 23 , 24 , 25 ].”
A literature survey of benchmark functions for global optimisation problems (2013, positive): “Freudenstein Roth Function [71] (Continuous, Diﬀerentiable, Non-Separable, Non-Scalable, Multimodal) subject to − 10 ≤ x i ≤ 10.”
A ranking selection-based particle swarm optimizer for engineering design optimization problems (2008, methodology): “These problems are taken from the literature ( Rao 1996 ) with exception of the welded beam design—case2 (Deband Goyal 1996)—and the four-stage gear train design (Pomrehn and Papalambros 1995a).”
Structural damage detection by a new iterative regularization method and an improved sensitivity function (2017, methodology): “Moreover, the variables have to satisfy certain constraints to produce a reliable optimization solution implying the importance of choosing adequate constraints [31].”
Centralized Control for Optimizing Microgrids Operation (2008, methodology): “If the bids are continuous and convex functions like in (7), or mathematical optimization methods then methods such as sequential quadratic programming (SQP) described in [10] can be used.”