Sentence examples for modes the free from inspiring English sources

It is shown that, by using the coupled non-linear modes, the free response can be expressed as a linear combination of frequency and amplitude modulated components.

The fully coupled problem between sloshing modes of the free surface and bulging modes of the plate is solved by using the Rayleigh Ritz method.

b, Mode shapes for the first four modes in the free case.

The effect of free surface waves on the plate natural frequencies is significant when the fundamental bulging mode of the plate has its natural frequency close to those of the first sloshing modes of the free surface.

This holds well if there is a high density of optical modes in the plane of the structure with, at the same time, a certain amount of coupling between these modes and the free space outside.

The binding modes of the free ligands 1 and 2 with Zn2+ are discussed in context to their photophysical and electrochemical properties as well as single X-ray crystallographic structures of 1, 2 and 1-Zn.

The Green function for a rectangular parallelepiped with rigid-lubricated boundaries is developed by a normal mode approach, the free vibration solutions being used.

The simplest vertical structure of the model is a 1 and 1/2 layer equatorial beta-plane model, which consists of the first baroclinic mode in the free troposphere and barotropic BL dynamics (Wang 1988b).

The broad absorption band at 3400 cm-1 corresponds to the stretching - OH) mode of the free hydroxyl groups and those involved in the intra- and inter-molecular hydrogen bonds (HB).

The broad absorption band at 3400 cm-1 corresponds to the stretching νOH) mode of the free hydroxyl groups and those involved in the intra- and inter-molecular hydrogen bonds.

The broad absorption band at 3400 cm-1 corresponds to the stretching v(OH) mode of the free hydroxyl groups and those involved in intra- and inter-molecular hydrogen bonds [ 37].