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Exact(4)
The result follows by observing that α=1 maximizes the first term.
Differential evolution optimization is used to find the volume fraction that maximizes the first natural frequency for a functionally graded beam.
Given a separable, locally compact Hausdorff spaceXand a positive Radon measurem(dx) on it, we study the problem of finding the potentialV x)⩾0 that maximizes the first eigenvalue of the Schrödinger-type operatorL+V x);Lis the generator of a local Dirichlet form (a, D[a]) onL2 X, m(dx)).
For laminated plates deformed statically with transverse normal tractions applied on a major surface, we use honeybees inspired Nest-Site Selection (NeSS) optimization algorithm, a third order shear and normal deformable plate theory (TSNDT), and the finite element method to find an optimum stacking sequence that maximizes the first failure load according to the Tsai-Wu criterion.
Similar(55)
Because Equation (3) maximizes the first-scale wavelet energy, many candidate blocks include high-frequency structural objects, such as the trees in the image center.
However, the dimensionless tapering parameter maximizing the first and second law efficiencies does not maximize the device output power.
In this context, the multi-criterion function aims to maximize the first goal and minimize the second.
The control is initialized through a previous optimization of the core of the laminated structure, in order to minimize the vibration amplitude and maximize the first natural frequency.
In the literature, most problems of structural vibration have been formulated to adjust a specific natural frequency: for example, to maximize the first natural frequency.
We maximize the first eigenfrequency, or a sum of the first ones, of a bounded domain occupied by two elastic materials with a volume constraint for the most rigid one.
The objective was to maximize the first resonant frequencies of the XY-scanner to increase response speed while limiting the size of the scanner to 100 mm × 100 mm × 50 mm.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com