Mathematical Formulation of Soft-Contact Problems for Various Rheological Models of Damper
The paper deals with analysis of selected soft-contact problems in discrete mechanical systems. Elastic-dissipative rheological schemes representing dampers as well as the notion of unilateral constraints were used in order to model interaction between colliding bodies. The mathematical descriptions...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2018-01-01
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| Series: | Shock and Vibration |
| Online Access: | http://dx.doi.org/10.1155/2018/8675016 |
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| _version_ | 1832549604061609984 |
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| author | Wiesław Grzesikiewicz Artur Zbiciak |
| author_facet | Wiesław Grzesikiewicz Artur Zbiciak |
| author_sort | Wiesław Grzesikiewicz |
| collection | DOAJ |
| description | The paper deals with analysis of selected soft-contact problems in discrete mechanical systems. Elastic-dissipative rheological schemes representing dampers as well as the notion of unilateral constraints were used in order to model interaction between colliding bodies. The mathematical descriptions of soft-contact problems involving variational inequalities are presented. The main finding of the paper is a method of description of soft-contact phenomenon between rigid object and deformable rheological structure by the system of explicit nonlinear differential-algebraic equations easy for numerical implementation. The results of simulations, that is, time histories of displacements and contact forces as well as hysteretic loops, are presented. |
| format | Article |
| id | doaj-art-ac13672652614db0a9cc8a0b2a7d67d7 |
| institution | Kabale University |
| issn | 1070-9622 1875-9203 |
| language | English |
| publishDate | 2018-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Shock and Vibration |
| spelling | doaj-art-ac13672652614db0a9cc8a0b2a7d67d72025-02-03T06:11:00ZengWileyShock and Vibration1070-96221875-92032018-01-01201810.1155/2018/86750168675016Mathematical Formulation of Soft-Contact Problems for Various Rheological Models of DamperWiesław Grzesikiewicz0Artur Zbiciak1Warsaw University of Technology, Faculty of Automotive and Construction Machinery Engineering, Institute of Vehicles, 84 Narbutta Str., 02-524 Warsaw, PolandWarsaw University of Technology, Faculty of Civil Engineering, Institute of Roads and Bridges, 16 Armii Ludowej Ave., 00-637 Warsaw, PolandThe paper deals with analysis of selected soft-contact problems in discrete mechanical systems. Elastic-dissipative rheological schemes representing dampers as well as the notion of unilateral constraints were used in order to model interaction between colliding bodies. The mathematical descriptions of soft-contact problems involving variational inequalities are presented. The main finding of the paper is a method of description of soft-contact phenomenon between rigid object and deformable rheological structure by the system of explicit nonlinear differential-algebraic equations easy for numerical implementation. The results of simulations, that is, time histories of displacements and contact forces as well as hysteretic loops, are presented.http://dx.doi.org/10.1155/2018/8675016 |
| spellingShingle | Wiesław Grzesikiewicz Artur Zbiciak Mathematical Formulation of Soft-Contact Problems for Various Rheological Models of Damper Shock and Vibration |
| title | Mathematical Formulation of Soft-Contact Problems for Various Rheological Models of Damper |
| title_full | Mathematical Formulation of Soft-Contact Problems for Various Rheological Models of Damper |
| title_fullStr | Mathematical Formulation of Soft-Contact Problems for Various Rheological Models of Damper |
| title_full_unstemmed | Mathematical Formulation of Soft-Contact Problems for Various Rheological Models of Damper |
| title_short | Mathematical Formulation of Soft-Contact Problems for Various Rheological Models of Damper |
| title_sort | mathematical formulation of soft contact problems for various rheological models of damper |
| url | http://dx.doi.org/10.1155/2018/8675016 |
| work_keys_str_mv | AT wiesławgrzesikiewicz mathematicalformulationofsoftcontactproblemsforvariousrheologicalmodelsofdamper AT arturzbiciak mathematicalformulationofsoftcontactproblemsforvariousrheologicalmodelsofdamper |