hw5_98F - Homework#5 1998 Fall MEAM 501 1 Analytical...

Info iconThis preview shows pages 1–2. Sign up to view the full content.

View Full Document Right Arrow Icon
MEAM 501 Analytical Methods in Mechanics and Mechanical Engineering 1. Consider a constrained minimization problem ( 29 ( 29 n n n n T T K F F R b R A R v b v Av v v v v - = × , , , 2 1 , min { } m n m n K R g R B 0 g Bv R v - = × , , : where a matrix A is symmetric, that is, A A = T , and the constrained set K is non- empty. (1) Find the necessary condition that an element K u is a minimizer of the functional F on the constrained set K . (2) Obtain the Lagrangian L to this constrained minimization problem, and set up the "equivalent" unconstrained problem on the primal variable v by considering the necessary condition of the problem obtained by the Lagrange multiplier method. (3) Solve the problem for A , B , and g defined as follows : - - - - - - - - - - - - - - - - - - = 2 1 0 0 0 0 0 0 0 0 1 2 1 0 0 0 0 0 0 0 0 1 2 1 0 0 0 0 0 0 0 0 1 2 1 0 0 0 0 0 0 0 0 1 2 1 0 0 0 0 0 0 0 0 1 2 1 0 0 0 0 0 0 0 0 1 2 1 0 0 0 0 0 0 0 0 1 2 1 0 0 0 0 0 0 0 0 1 2
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
Image of page 2
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

Page1 / 3

hw5_98F - Homework#5 1998 Fall MEAM 501 1 Analytical...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online