bv_cvxbook_extra_exercises

f n that together with the given load forces satisfy

Info iconThis preview shows page 1. Sign up to view the full content.

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

Unformatted text preview: itions of the masses 2, . . . , n−1 using convex optimization. Be sure to justify convexity of any functions that arise in your formulation (if it is not obvious). The problem data are mi , ki , li , g , x1 , y1 , xn , and yn . (b) Carry out your method to find the equilibrium positions for a problem with n = 10, mi = 1, ki = 10, li = 1, x1 = y1 = 0, xn = yn = 10, with g varying from g = 0 (no gravity) to g = 10 (say). Verify that the results look reasonable. Plot the equilibrium configuration for several values of g . 14.3 Elastic truss design. In this problem we consider a truss structure with m bars connecting a set of nodes. Various external forces are applied at each node, which cause a (small) displacement in the node positions. f ∈ Rn will denote the vector of (components of) external forces, and d ∈ Rn will denote the vector of corresponding node displacements. (By ‘corresponding’ we mean if fi is, say, the z -coordinate of the external force applied at node k , then di is the z -coordinate of the displacement of node k .) The vector f is called a loading o...
View Full Document

Ask a homework question - tutors are online