Application of first-order sensitivity analysis to stabilisation of unstable continuous multi-degree-of-freedom parametric periodic systems - Lower Silesian Digital Library

Skip to main menu
Skip to search engine
Skip to content
Skip to footer

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

Download

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

Creator:

Wójcicki, Zbigniew

Contributor:

Różański, Adrian. Redakcja

Description:

Studia Geotechnica et Mechanica, Vol. 47, 2025, nr 3, s. 62-74 ; Poprzedni tytuł: Studia Geotechnica

Abstrakt:

From a practical point of view, the most important feature of a parametric periodic system is the instability phenomenon. Unlike in systems with constant coefficients, in which only points of instability exist, in parametric systems, whole areas of instability occur. This study presents a method of automatic stabilisation of unstable multi-degree-of-freedom linear continuous-in-time parametric systems. In this method, a parametric excitation can only be a continuous function of time. This paper concerns the sensitivity analysis of multipliers – complex eigenvalues of the monodromy matrix. The method is an alternative approach to that proposed in all other previous works on this subject. A procedure based on sensitivity analysis and directional derivative was used. The method's innovation is achieving the non-homogeneous parametric sensitivity equation by evaluating analytically the derivative of the homogeneous parametric equation of motion with respect to the design parameter. Then, by solving this sensitivity equation, evaluating the first derivative of the monodromy matrix, and finally, the first derivatives of multipliers. Ultimately, this method is based on a sensitivity analysis of the absolute values of multipliers. Furthermore, the sensitivity analysis method was improved and generalised to allow to correctly determine the eigenderivatives also with respect to those system parameters, on which the parametric excitation period depends. In particular, it becomes possible to use the parametric excitation period as a design parameter, which was not possible in the works of other authors. Examples of this method's implementation are also presented. This work continues the topics developed by the author in his earlier works.

Publisher:

Oficyna Wydawnicza Politechniki Wrocławskiej

Place of publication:

Date:

Resource Type:

Resource Identifier:

doi:10.2478/sgem-2025-0014 ; oai:dbc.wroc.pl:142808

Source:

<sygn. PWr A3355II> ; click here to follow the link ; click here to follow the link

Language:

Relation:

Studia Geotechnica et Mechanica ; Studia Geotechnica et Mechanica, Vol. 47, 2025 ; Studia Geotechnica et Mechanica, Vol. 47, 2025, nr 3

Rights:

Pewne prawa zastrzeżone na rzecz Autorów i Wydawcy

Access Rights:

Dla wszystkich zgodnie z licencją

License:

CC BY-NC-ND 4.0
;

Location:

Politechnika Wrocławska

Group publication title:

Studia Geotechnica et Mechanica

Subject and keywords:

geotechnika - czasopisma mechanika - czasopisma first-order sensitivity continuous m.d.o.f stabilisation parametric

Object collections:

Last modified:

Jan 9, 2026

In our library since:

Jan 9, 2026

Number of object content hits:

2

All available object's versions:

https://dbc.wroc.pl/publication/181693

Show description in RDF format:

Show description in OAI-PMH format:

Studia Geotechnica et Mechanica

Edition name	Date
Application of first-order sensitivity analysis to stabilisation of unstable continuous multi-degree-of-freedom parametric periodic systems	Jan 9, 2026

Objects Similar

Studia Geotechnica et Mechanica

Studia Geotechnica et Mechanica

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

Wójcicki, Zbigniew Różański, Adrian. Redakcja

2025

artykuł

Studia Geotechnica et Mechanica

Studia Geotechnica et Mechanica

Contents [Studia Geotechnica et Mechanica, Vol. 33, 2011, nr 4]

Izbicki, Ryszard. Redakcja

2011

artykuł

Studia Geotechnica et Mechanica

Studia Geotechnica et Mechanica

Engineering and economic preconditioning for draining of the PWiK facilities in Głogów

Kołodziejczyk, Urszula Izbicki, Ryszard. Redakcja

2012

artykuł

Studia Geotechnica et Mechanica

Studia Geotechnica et Mechanica

Assessment of the impact of the Odra river water levels on groundwater levels in Rzeczyca region

Chalfen, Mieczysław Głuchowska, Beata Pływaczyk, Leszek (1945- ) Izbicki, Ryszard. Redakcja

2012

artykuł

Studia Geotechnica et Mechanica

Studia Geotechnica et Mechanica

Contents [Studia Geotechnica et Mechanica, Vol. 33, 2011, nr 3]

Izbicki, Ryszard. Redakcja

2011

artykuł

Studia Geotechnica et Mechanica

Studia Geotechnica et Mechanica

Contents [Studia Geotechnica et Mechanica, Vol. 33, 2011, nr 1]

Izbicki, Ryszard. Redakcja

2011

artykuł

Studia Geotechnica et Mechanica

Studia Geotechnica et Mechanica

Contents [Studia Geotechnica et Mechanica, Vol. 33, 2011, nr 2]

Izbicki, Ryszard. Redakcja

2011

artykuł

Studia Geotechnica et Mechanica

Studia Geotechnica et Mechanica

Description of hydraulic and strength properties of anisotropic geomaterials

Pietruszczak, S. Pande, G. N. Izbicki, Ryszard. Redakcja

2012

artykuł

More

Citation style:

Chicago ISO690 APA IEEE Harvard

Contact details

Address

Wrocław University of Science and Technology (Coordinator)
Library of Wrocław University of Science and Technology
Wybrzeże Wyspiańskiego 27
50-370 Wrocław, Poland

Phone

(+48) 71-320-38-30
(+48) 71-320-47-50

E-Mail

Visit us!

https://biblioteka.pwr.edu.pl/

This page uses 'cookies'. More information