Sentence examples for methods and modal from inspiring English sources

Finite element methods and modal analysis techniques have been used to predict the vibration characteristics of piezoelectric discs with finite diameter to thickness (D/T) ratios.

Finite element methods and modal analysis techniques have been used to predict their vibration characteristics (i.e. their natural frequencies and mode shapes).

Independent and coupled modal controllers are designed based on the pole placement method and modal vibration control experiments are performed.

Finite-dimensional modal representation capturing the dominant dynamics of the PDEs system is derived for controller design through Galerkin's method and modal decomposition technique.

The dynamic response can be easily calculated using direct frequency response method and modal superposition method when the dynamic equation of motion of nonviscously damped systems is transformed into the frequency domain using the Laplace transform.

Undamped natural frequencies and modal loss factors are calculated using the Rayleigh energy method and modal strain energy technique, respectively, without explicitly solving high order differential equations or complex eigenvalue problems.

Typical design methods (i.e., the Equivalent Lateral Force method and Modal Response Spectrum analysis) do not capture these rotations associated with differential drifts that might lead to column instability.

In order to verify and test the measurement method and modal decomposition technique, measurements were first carried out on a small test-rig without flow, with an ordinary loudspeaker as a source.

In this study, a sensor placement determination procedure is developed so that enhancement of the separation performance of the modeled modes and reduction of the spillover effect of the truncated modes in modal filtering are achieved at the same time by combining the minimum spillover method, effective independence method (EFI) and modal assurance criterion (MAC).

These methods include: the integral methods (moment methods, physical optics and modal expansion), the differential equation methods (the finite difference time domain (FDTD) and parabolic equation), and the ray methods (tracing/launching and Gaussian beams).

Two robust modal reduction bases, namely multi-model method (MM) and modal strain energy by first-order correction method (MSEC), are introduced to reduce the order of the original system.