Example3.3 One wants to maximize the stiffness of the two-bar truss in the figure by minimizing its compliance . The truss is subjected to the force . The volume of the truss may not exceed the value , and the magnitude of the str

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Example3.3 One wants to maximize the stiffness of the two-bar truss in the figure by minimizing its compliance . The truss is subjected to the force . The volume of the truss may not exceed the value , and the magnitude of the str

Example3.3 One wants to maximize the stiffness of the two-bar truss in the figure by minimizing its compliance . The truss is subjected to the force . The volume of the truss may not exceed the value , and the magnitude of the stresses (both in tension and compression) are not allowed to exceed the value ,where is a given dimensionless constant. The design variables are the cross-sectional areas of the bars: and . a)Formulate the problem as a mathematical programming problem. b)Put , and solve the optimization problem by using Lagrangian duality. What happens if instead? What happens if ?

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Example3.3 One wants to maximize the stiffness of the two-bar truss in the figure by minimizing its compliance . The truss is subjected to the force . The volume of the truss may not exceed the value , and the magnitude of the str

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One wants to maximize the stiffness of the truss by minimizing the size of the displacement vector,

Example3.3 One wants to maximize the stiffness of the two-bar truss in the figure by minimizing its compliance . The truss is subjected to the force . The volume of the truss may not exceed the value , and the magnitude of the str

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Add Answer to: Example3.3 One wants to maximize the stiffness of the two-bar truss in the figure by minimizing its compliance . The truss is subjected to the force . The volume of the truss may not exceed the value , and the magnitude of the str

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One wants to maximize the stiffness of the truss by minimizing the size of the displacement vector,

Add Answer to:
Example3.3 One wants to maximize the stiffness of the two-bar truss in the figure by minimizing its compliance . The truss is subjected to the force . The volume of the truss may not exceed the value , and the magnitude of the str