Sentence examples for modal functions of from inspiring English sources

The modal functions of this model and the orthogonality condition among them are derived.

At this step the governing equations are reduced to the time domain by the use of the modal functions of the completely free plate.

The wet dynamic displacement of the plate is approximated by combining the orthogonal modal functions of a dry circular plate with a clamped boundary condition.

It is well known that structural modal functions of symmetric structures are clustered to an even function or an odd function and each of the clusters uncouples with the other cluster in the radiated acoustic field.

Fluid velocity potential satisfying fluid boundary conditions is derived and wet dynamic modal functions of the plate are expanded in terms of finite Fourier series for compatibility requirement along the contacting surface between the plate and the fluid.

The liquid displacement potential satisfying the boundary conditions is derived and the wet dynamic modal functions of the plate are derived by using a compatibility requirement along the contacting surface between the plate and the liquid.

A modality is a modal function of one variable that contains only the operators ¬ and ◊.

with a constant, the source spectrum, the modal function of mode, and the horizontal spatial frequency of mode.

The modal function of 當 dāng grammaticalizes from a verb with the basic meaning 'match, correspond'.46 As a modal auxiliary verb, it expresses root necessity: □p 'it is necessary that p', roughly corresponding to the modal should in English.

The feasibility, the efficiency and the effectiveness of IGA are tested in detail through a set of benchmark multi-modal functions, of which global and local minima are known.

These peaks are due to "mirror solutions" of modal functions for some depths when considering only mode excitation factor modulus (see Figure 14).