Sentence examples for fundamental linear from inspiring English sources

Matrix multiplication is a fundamental linear algebra routine ubiquitous in all areas of science and engineering.

Contour plots of fundamental linear and nonlinear frequencies as a function of fiber orientation angles are presented.

However, for short beams and moderately thick plates, one has to consider the effects of shear deformation and rotary inertia to evaluate their fundamental linear and nonlinear frequencies.

The solution of thermal effect is obtained by superposing certain fundamental linear elastic stress states which are compatible with Euler Bernoulli beam theory.

Results for the fundamental linear and nonlinear frequencies and associated mode shapes are obtained for fully clamped laminated composite square plates composed of shifted curvilinear fibers.

The tuning ratio of a rectangular TLD, as defined earlier, is the ratio of the fundamental linear sloshing frequency (f w ) to the natural frequency of the structure (f s ).

The non-linear frequencies associated to the fundamental non-linear mode shape predicted by the present model were compared with numerical results from the available published literature and a good agreement was found.

The problem is reduced to a non-linear algebraic system, the solution of which leads to determination of the amplitude-dependent fundamental non-linear mode shapes, the frequency parameters, and the non-linear stress distributions.

To broaden the theoretical fundamentals, a linear piezoelastic thin-shell vibration theory is proposed in this paper.

The theoretical model is used to calculate the fundamental non-linear mode shape and associated flexural behaviour of the fully clamped G3HCRP.

The results obtained corresponding to the fundamental non-linear mode shape are in good agreement with those of a previous theoretical and experimental study.