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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

Studia Geotechnica et Mechanica
Volume 47 (2025): Issue 3 (September 2025)
By:   
Open Access
|Sep 2025
Figures & tables

Figures & Tables

Figure 1:

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

the basic mass– M = 3·104 kg,
the constant part of the stiffness of the elastic bond– Ko = 4 ·108 N/m,
the characteristic of the damping bond– C = 4.4 ·104 Ns/m
and
parametric excitation frequency– νo = 233 rad/s.
Eliminator (upper mass m)
the eliminator mass (1/20 of the mass M)– m = 1.5 ·103 kg,
the spring stiffens– k = 1.77 ·107 N/m
and
the characteristic of the damping bond– c = 4.4 ·104 Ns/m.
DOI: https://doi.org/10.2478/sgem-2025-0015 | Journal eISSN: 2083-831X (formerly 0137-124X) | Journal ISSN: 0137-6365
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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
Keywords:
second-order sensitivity,
parametric,
stabilisation,
continuous,
m.d.o.f.
Related subjects:
Geosciences,
Geosciences, other,
Materials sciences,
Composites,
Porous materials,
Physics,
Mechanics and fluid dynamics

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

Volume 47 (2025): Issue 3 (September 2025)
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