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Application of second-order sensitivity analysis to stabilisation of unstable continuous multi-degree-of-freedom parametric periodic systems Cover

Application of second-order sensitivity analysis to stabilisation of unstable continuous multi-degree-of-freedom parametric periodic systems

Open Access
|Sep 2025

Figures & Tables

Figure 1:

Two-mass dynamic model: parametrically excited primary system M with attached eliminator m.
Two-mass dynamic model: parametrically excited primary system M with attached eliminator m.

j_sgem-2025-0015_tab_001

the basic massM = 3·104 kg,
the constant part of the stiffness of the elastic bondKo = 4 ·108 N/m,
the characteristic of the damping bondC = 4.4 ·104 Ns/m
and
parametric excitation frequencyνo = 233 rad/s.

j_sgem-2025-0015_tab_002

Eliminator (upper mass m)
the eliminator mass (1/20 of the mass M)m = 1.5 ·103 kg,
the spring stiffensk = 1.77 ·107 N/m
and
the characteristic of the damping bondc = 4.4 ·104 Ns/m.
DOI: https://doi.org/10.2478/sgem-2025-0015 | Journal eISSN: 2083-831X | Journal ISSN: 0137-6365
Language: English
Page range: 75 - 92
Submitted on: Jan 22, 2025
Accepted on: Apr 28, 2025
Published on: Sep 19, 2025
Published by: Wroclaw University of Science and Technology
In partnership with: Paradigm Publishing Services
Publication frequency: 4 issues per year

© 2025 Zbigniew Wójcicki, published by Wroclaw University of Science and Technology
This work is licensed under the Creative Commons Attribution 4.0 License.