Modal Analysis of a Discrete System in the Form of a Rocket Launcher Installed on a Motor Vehicle
A discrete model of an unguided rocket missile launcher installed on a motor vehicle was developed on the basis of a real assembly. The model is simplified to a vertical plane; it has four degrees of freedom and is adapted for a modal analysis. A mathematical model was derived using the variational...
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| Format: | Article |
| Language: | English |
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Military University of Technology, Warsaw
2016-09-01
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| Series: | Problemy Mechatroniki |
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| Online Access: | http://promechjournal.pl/gicid/01.3001.0009.2981 |
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| author | Zbigniew DZIOPA Maciej NYCKOWSKI |
| author_facet | Zbigniew DZIOPA Maciej NYCKOWSKI |
| author_sort | Zbigniew DZIOPA |
| collection | DOAJ |
| description | A discrete model of an unguided rocket missile launcher installed on a motor vehicle was developed on the basis of a real assembly. The model is simplified to a vertical plane; it has four degrees of freedom and is adapted for a modal analysis. A mathematical model was derived using the variational method on the basis of the assumed physical model. Analytical dependencies in the form of adjoint second order equations taking ordinary derivatives describe the dynamics of the considered system. The equations describing the autonomous motion of the system provided a definition of the generalized eigenvalue problem and the age equation forming the basis of the characteristic values. An analytical form of particular integrals was assumed for equations describing proper vibrations and the amplitude distribution coefficients were calculated. Four forms of proper vibrations of the considered system were obtained on the basis of the determined eigenvectors. |
| format | Article |
| id | doaj-art-a759ba94c46a47b1addbcf30ab7fd0ab |
| institution | Kabale University |
| issn | 2081-5891 |
| language | English |
| publishDate | 2016-09-01 |
| publisher | Military University of Technology, Warsaw |
| record_format | Article |
| series | Problemy Mechatroniki |
| spelling | doaj-art-a759ba94c46a47b1addbcf30ab7fd0ab2024-12-02T07:28:01ZengMilitary University of Technology, WarsawProblemy Mechatroniki2081-58912016-09-0173475810.5604/01.3001.0009.298101.3001.0009.2981Modal Analysis of a Discrete System in the Form of a Rocket Launcher Installed on a Motor VehicleZbigniew DZIOPA0Maciej NYCKOWSKI1Politechnika Świętokrzyska, Kielce, PolskaInstitute of Aviation, Warsaw, PolandA discrete model of an unguided rocket missile launcher installed on a motor vehicle was developed on the basis of a real assembly. The model is simplified to a vertical plane; it has four degrees of freedom and is adapted for a modal analysis. A mathematical model was derived using the variational method on the basis of the assumed physical model. Analytical dependencies in the form of adjoint second order equations taking ordinary derivatives describe the dynamics of the considered system. The equations describing the autonomous motion of the system provided a definition of the generalized eigenvalue problem and the age equation forming the basis of the characteristic values. An analytical form of particular integrals was assumed for equations describing proper vibrations and the amplitude distribution coefficients were calculated. Four forms of proper vibrations of the considered system were obtained on the basis of the determined eigenvectors.http://promechjournal.pl/gicid/01.3001.0009.2981mechanicsrocket launcherarmoured combat vehicleeigenvalues and eigenvectors |
| spellingShingle | Zbigniew DZIOPA Maciej NYCKOWSKI Modal Analysis of a Discrete System in the Form of a Rocket Launcher Installed on a Motor Vehicle Problemy Mechatroniki mechanics rocket launcher armoured combat vehicle eigenvalues and eigenvectors |
| title | Modal Analysis of a Discrete System in the Form of a Rocket Launcher Installed on a Motor Vehicle |
| title_full | Modal Analysis of a Discrete System in the Form of a Rocket Launcher Installed on a Motor Vehicle |
| title_fullStr | Modal Analysis of a Discrete System in the Form of a Rocket Launcher Installed on a Motor Vehicle |
| title_full_unstemmed | Modal Analysis of a Discrete System in the Form of a Rocket Launcher Installed on a Motor Vehicle |
| title_short | Modal Analysis of a Discrete System in the Form of a Rocket Launcher Installed on a Motor Vehicle |
| title_sort | modal analysis of a discrete system in the form of a rocket launcher installed on a motor vehicle |
| topic | mechanics rocket launcher armoured combat vehicle eigenvalues and eigenvectors |
| url | http://promechjournal.pl/gicid/01.3001.0009.2981 |
| work_keys_str_mv | AT zbigniewdziopa modalanalysisofadiscretesystemintheformofarocketlauncherinstalledonamotorvehicle AT maciejnyckowski modalanalysisofadiscretesystemintheformofarocketlauncherinstalledonamotorvehicle |