Normal mode

Normal mode

Normal mode refers to a standard technique used to identify and characterize the vibrational dynamics of a system. Each normal mode is associated with a natural frequency or period of vibration known as the natural period. This analysis is widely used in various fields and provides solutions without any assumed restrictions on the considered variables, such as displacement, temperature, and stress.From: Handbook of Photonics for Biomedical Science [2019], Concrete Buildings in Seismic Regions [2019], Effect of magnetic field and gravity on 2D fiber-reinforced medium under fractional order theory of thermoelasticity [2023]

Systems with Two or More Degrees of Freedom

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Published in William T. Thomson, Theory of Vibration with Applications, 2018

William T. Thomson

Normal mode vibrations are free undamped vibrations that depend only on the mass and stiffness of the system and how they are distributed. When vibrating at one of these normal modes, all points in the system undergo simple harmonic motion that passes through their equilibrium positions simultaneously. To initiate a normal mode vibration, the system must be given specific initial conditions corresponding to its normal mode. For the more general initial conditions, such as an impulsive blow, the resulting free vibration may contain all the normal modes simultaneously.

Effect of magnetic field and gravity on 2D fiber-reinforced medium under fractional order theory of thermoelasticity

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Journal Information

Published in Mechanics Based Design of Structures and Machines, 2023

Yongbin Ma, Xiaoyu Duan

The normal mode analysis is applied in different fields, and it gives solutions without any assumed restrictions on the considered variables, such as the displacement, the temperature, and the stress. The solution of the considered variables can be decomposed in terms of normal modes as where is a complex constant, , b is the wave number in the y-direction, and are the amplitudes of the field quantities, is the velocity of moving internal heat source, and is the magnitude of the internal heat source.

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Systems with Two or More Degrees of Freedom

Effect of magnetic field and gravity on 2D fiber-reinforced medium under fractional order theory of thermoelasticity