Numerical Optimization Techniques for Engineering Design: With Applications |
Contents
Functions of One Variable | 3 |
Random Search | 80 |
Other ZeroOrder Methods | 87 |
Copyright | |
6 other sections not shown
Common terms and phrases
a₁ active constraints aerodynamic aircraft airfoil algorithm analysis approach approximation techniques calculate Chap coefficient concepts consider constrained optimization constraint boundary constraint functions convergence convex cubic dependent variables design problem design space design variables dual dual methods efficiency equality constraints Equation estimate example exterior penalty function F₁ feasible directions Figure function evaluations geometry golden section method Hessian matrix hypersphere improve inequality constraints iteration Kuhn-Tucker conditions Lagrange multipliers Lagrangian linear programming load minimization problem Newton's method nonlinear Nonlinear Programming number of design numerical optimization objective function one-dimensional search optimization problem optimization process optimization techniques optimum design penalty function polynomial interpolation primal quadratic quadratic approximation reduced gradient method search direction shown in Fig simplex algorithm slack variables solution solve specified stress structural optimization Taylor series tion truss two-variable function space unconstrained minimization update upper bound vector X₁ X₂ zero ах