Abstract
Structural optimization wherein the criterion is the minimization of control cost with quadratic form of state variables and the control input is dependent on the initial state of the system. This paper formulates an optimization problem for a 3-dimensional truss structure, taking the viewpoint that the initial state is a deformed one by static loads and also taking account of the uncertainty of the external loads. In order to consider the uncertainty of the loads, the expected value of control cost is adopted as an objective function. Furthermore, an effective method for calculating the expectation of the control cost and its sensitivity is proposed. Some numerical examples show the effectiveness and necessity of the proposed method.
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