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The proposed EHS algorithm is utilized to solve four classical weight minimization problems of steel frames.
Strength, stiffness and stability (only for trusses) constraints are included in non-linear mathematical models of volume minimization problems of structures.
A mixed topology optimization algorithm is implemented and presented for the compliance minimization problems of continuum structures with material volume constraints.
As numerical examples, compliance minimization problems of cantilever beams and force maximization problems of magnetic actuators are presented to demonstrate the method's effectiveness and utility.
To validate the effectiveness of the developed system, pressure drop minimization problems of a U-shaped microchannel and a branched microchannel in incompressible flows under constant volume conditions are solved.
The new algorithm is successfully tested in weight minimization problems of truss structures with up to hundreds of design variables and thousands of constraints: sizing and configuration problems are considered.
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Using this result, we consider the convex minimization problem of finding a minimizer of a proper lower-semicontinuous convex function and the variational problem of finding a solution of a variational inequality.
For finding their magnitudes that minimize the bit metric (14), it is the minimization problem of a quadratic function, i.e., differentiating (14) w.r.t |x2,R| and |x2,I| to find the global minima that are given as (15).
The existence and uniqueness of solution are also investigated for the minimization problem of complementary energy.
The minimization problem of total dissipation energy was formulated in the domain of viscous flow fields.
Optimality is given by a minimization problem of a quadratic cost functional under infinite horizon.
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