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This paper presents an attempt to generalize the modal superposition formula to mechanical systems with impact type non-linearities following the procedure introduced for smooth non-linearities.
The results obtained for various sets of parameters point out some limitations to the validity of a general modal superposition formula.
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Flexible deformations are solved by modal superposition method; detailed rigid trajectory equations in vertical plane, supercavity equation and force formulae are presented, and calculation flowchart of rigid-flexible-cavity coupling trajectory is given.
The modal superposition method is employed.
For this purpose, modal superposition technique is utilized.
Analytical solutions were obtained through the modal superposition method.
In original paper, modal superposition method was used as defined.
Transient responses are calculated by use of modal superposition.
The dynamic responses are calculated basing on modal superposition.
A new method termed "method of orthocomplement" offers to increase the accuracy of modal superposition.
Response spectra analysis based on the modal superposition method is restricted to linear elastic analysis.
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