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Following the free vibration analysis, uncoupled stiffness, damping and mass matrices have been found employing the mode superposition method.
Thus the higher order beam mass matrices have more superior frequency accuracy simultaneously with smaller bandwidth compared with their corresponding consistent mass matrices.
The numerical examples show that the higher-order and coupling mass matrices have a significant influence on the frequencies of high mode flexural vibration.
Both quadratic and cubic formulations are discussed in detail and it is shown that with regard to the vibration frequency, the proposed higher order mass matrices have 6th and 8th orders of accuracy in contrast to the 4th and 6th orders of accuracy associated with the quadratic and cubic consistent mass matrices.
Similar(56)
Reduction of stiffness and increase in the mass matrix have got more effect in this process.
A consistent mass matrix has been used in the study.
Hence, in cumomer-based flux balance equations, the consistent mass matrix has non-positive eigenvalues.
The system mass matrix has been found in the form of lumped masses at the heights where the unit forces have been applied.
The effect of using a consistent mass matrix vs. a diagonal mass matrix has been investigated, as has the effect of the wave content of the basis functions.
To facilitate the condensation process, efficient mass lumping schemes have been recommended to form the mass matrix having zero mass for the internal nodes.
Indeed, in this new context, instability of the solution and non-physical nature of mass and stiffness random matrices have been observed.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com