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Erschienen in:
2024 | OriginalPaper | Buchkapitel
Stability and Instability of a Complex Biodynamical Discrete Structure on a Cantilever Coupled to Nonlinear Springs
verfasst von : Katica Hedrih, Andjelka Hedrih
Erschienen in: Advances in Nonlinear Dynamics, Volume III
Verlag: Springer Nature Switzerland
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Abstract
It is of a great interest that staking of young seedlings is done properly, ensuring oscillations of the trunk that will stimulate the root growth and proper anchoring to the ground. Stability of forced oscillations of double and triple staking methods is analyzed using a modification of a previously developed model of a young seedling staked with one stake. A previously developed model is in the form of a complex discrete cantilever coupled with a nonlinear spring. Stability and instability of the complex structure regarding the number of nonlinear springs to which the structure is coupled is investigated. The geometric nonlinearity of the system is introduced by a spring with cubic nonlinear properties that oscillates in the horizontal plane.
Two systems of five non-linear differential equations of biodynamic complex and discrete structure alignment in two orthogonal directions were derived for all three models of spring coupling. It is shown that in the third model of coupling with three springs (tensioners), there is an interaction of the external force in one direction with oscillations in the original direction