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This allows one to determine the normal oscillation modes and natural frequencies circumventing the difficulties arising in time-domain analysis.
Finite element model and experimental investigations probe how redistributing material in the form of microscale voids influences the global vibration modes and natural frequencies of structural panels.
Based on these grid-to-rod supporting conditions, the fuel rod vibration modes and natural frequencies were calculated with the help of the ANSYS code, while the fuel rod vibration amplitudes were estimated by the Paidoussis' empirical formula.
The exact vibration modes and natural frequencies of planar structures and mechanisms, comprised Euler Bernoulli beams, are obtained by solving a transcendental, non-linear, eigenvalue problem stated by the dynamic stiffness matrix (DSM).
The strain energy expression is calculated using modes and natural frequencies of damaged beams that are derived based on single beam analysis considering both decrease in mass and stiffness.
A new multivariate data analysis method called smooth orthogonal decomposition (SOD) is proposed to extract linear normal modes and natural frequencies of multi-degree-of-freedom and distributed-parameter vibration systems.
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Different from the natural mode and natural frequency, a sinusoidal fluctuation of the resonance frequency is identified between the two split natural frequencies for single standing wave excitation.
In vacuo, the principal mode and natural frequency characteristics are uniquely defined but when the combined influences of fluid-structure-external boundary interactions are accounted for in the mathematical model, significant variations in the prinipal coordinates, resonance frequencies, responses, etc., occur.
The complex mode approach is applied to obtain the transverse vibration modes and the natural frequencies of the linear equation.
A method is presented to obtain a full (non-proportional) viscous damping matrix from complex modes and complex natural frequencies.
It is found that the normal modes and the natural frequencies of the rectangular thin plate in flexural vibration are abundant.
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