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In order to obtain binary discrete topologies, the volume preserving Heaviside filter is used together with continuation schemes on material penalization coefficient and filter parameters.
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An appropriate continuation scheme is also applied, leading to evaluation of complete branches of periodic solutions.
Density-based topology optimization methods are employed in conjunction with regularization techniques, a continuation scheme, and mathematical programming methods.
Finally, a continuation scheme is presented that yields good results in terms of both binary discreteness and optimal performance.
A proper continuation scheme is proposed to all penalization coefficients in order to achieve black-and-white solutions.
A continuation scheme is also introduced to systematically construct the solution as a function of a given parameter.
A harmonic balance technique coupled with a continuation scheme is utilized to trace the system response to changes in the magnitude of the applied harmonic forcing.
A multi-parameter continuation scheme is used to facilitate the convergence as the parameters of the problem are varied over a wide range.
The method of harmonic balance, coupled with a continuation scheme, is used to determine the solutions for an entire range of externally applied loading.
The nonlinear differential-algebraic equations resulting from the finite element discretization are solved by Newton's method augmented with a pseudo-arc-length continuation scheme for tracing ignition and extinction points.
The continuation scheme, based on the QR decomposition, facilities parametric studies for design by using the system solution for one set of parameters to optimally predict the steady state periodic solution for a similar set of parameters.
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