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Unformatted text preview: unstiﬀ structure; in this case, at least one
mass is not even supported against gravity.)
(a) Suppose we know the ﬁxed positions xﬁxed , . . . , xﬁxed , y1 , . . . , yp , the mass values m1 , . . . , mn ,
the spring topology A, and the constant g . You are to choose nonnegative k1 , . . . , kN , subject
to a budget constraint 1T k = k1 + · · · + kN = k tot , where k tot is given. Your goal is to maximize
Explain how to do this using convex optimization. (b) Carry out your method for the problem data given in tens_struct_data.m. This ﬁle deﬁnes
all the needed data, and also plots the equilibrium conﬁguration when the stiﬀness is evenly
distributed across the springs (i.e., k = (k tot /N )1).
Report the optimal value of Emin . Plot the optimized equilibrium conﬁguration, and compare
it to the equilibrium conﬁguration with evenly distributed stiﬀness. (The code for doing this
is in the ﬁle tens_struct_data.m, but commented out.)
116 14.2 Equilib...
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This note was uploaded on 09/10/2013 for the course C 231 taught by Professor F.borrelli during the Fall '13 term at University of California, Berkeley.
- Fall '13
- The Aeneid