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An eight-node serendipity element free of shear locking and spurious zero-energy modes is formulated to model laminated composite plate problems.
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Synchronous and asynchronous components of correlations for different modes are formulated.
The objective problem and constraint functions of the optimization model for energy management in the microgrid considering the two possible operation modes are formulated in this section.
Based on the suggested algorithm the problem of optimizing transfer times of standby elements to the hot standby mode and optimal sequencing of their transfer to the operation mode is formulated and solved.
The generalized force for any mode is formulated by assuming a distribution of the wind force power spectral density (PSD) along the structural height, and employing the base moments measured from HFBB wind tunnel tests.
The power consumption minimization problem in random sleeping strategy with femtocell closed access mode is formulated as: begin{array}{lll} underset{{q_{m}},{q_{f}}}{min} &{P_{m,rs}} + {P_{f,rs}} s.t.& {P_{fc,rs}^{m}} ge {varepsilon_{mr}}&qquadqquadqquadleft(17mathrm{a} right) &{P_{fc,rs}^{f}} ge {varepsilon_{fr}}&qquadqquadqquad left(17mathrm{b} right), end{array} (17).
The local failure mode was formulated as a system reliability problem.
Additional constraints on the configuration mode are formulated because the mode can be transitioned to only a limited number of possible modes, as shown in Fig. 1.
A sliding mode controller is formulated through performance parameters which include the settling time and overshoots in the proof mass.
A new sliding mode controller is formulated for the tip position control of a single-link flexible manipulator subjected to parameter variations.
Finally a condition for the calculation of the damped natural vibrations for the constrained structure in terms of the undamped mode shapes is formulated.
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