Insights through Modal Minimal Models for Analysis of Linear and Nonlinear Dynamic Problems
Dynamic analysis of three-dimensional structures is common practice in industry to optimize products and in research to gain insights on the influence of parameters. The complexity differs based on the linearity or nonlinearity of the underlying problem, the type of excitation, e.g., forced or self-...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2022-01-01
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| Series: | Shock and Vibration |
| Online Access: | http://dx.doi.org/10.1155/2022/6888399 |
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| _version_ | 1849435221368242176 |
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| author | Andreas Hohl Vincent Kulke Georg-Peter Ostermeyer |
| author_facet | Andreas Hohl Vincent Kulke Georg-Peter Ostermeyer |
| author_sort | Andreas Hohl |
| collection | DOAJ |
| description | Dynamic analysis of three-dimensional structures is common practice in industry to optimize products and in research to gain insights on the influence of parameters. The complexity differs based on the linearity or nonlinearity of the underlying problem, the type of excitation, e.g., forced or self-excitation, and the number of degrees of freedom that need to be examined. Reduced order models and optimized numerical methods are used to optimize the time and computational power needed to gain a certain insight. This article focusses on a specific class of problems where the modes of the structure do not or do not significantly change through the (damping) device or force that is added to the structure. Herein, lumped mass models are commonly used for analysis of the dynamic response of the system. In the article, it is highlighted that lumped mass models can give quantitative insight but modally reduced models allow a direct optimization of the problems with respect to the physical degree of freedom that, for example, is subject to self-excitation or dampened. The benefit of modal minimal models and its limitations are shown and discussed for different linear and nonlinear dynamic problems. |
| format | Article |
| id | doaj-art-e5998b596154438f9ae3687c06ac92be |
| institution | Kabale University |
| issn | 1875-9203 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Shock and Vibration |
| spelling | doaj-art-e5998b596154438f9ae3687c06ac92be2025-08-20T03:26:21ZengWileyShock and Vibration1875-92032022-01-01202210.1155/2022/6888399Insights through Modal Minimal Models for Analysis of Linear and Nonlinear Dynamic ProblemsAndreas Hohl0Vincent Kulke1Georg-Peter Ostermeyer2Baker HughesTU BraunschweigTU BraunschweigDynamic analysis of three-dimensional structures is common practice in industry to optimize products and in research to gain insights on the influence of parameters. The complexity differs based on the linearity or nonlinearity of the underlying problem, the type of excitation, e.g., forced or self-excitation, and the number of degrees of freedom that need to be examined. Reduced order models and optimized numerical methods are used to optimize the time and computational power needed to gain a certain insight. This article focusses on a specific class of problems where the modes of the structure do not or do not significantly change through the (damping) device or force that is added to the structure. Herein, lumped mass models are commonly used for analysis of the dynamic response of the system. In the article, it is highlighted that lumped mass models can give quantitative insight but modally reduced models allow a direct optimization of the problems with respect to the physical degree of freedom that, for example, is subject to self-excitation or dampened. The benefit of modal minimal models and its limitations are shown and discussed for different linear and nonlinear dynamic problems.http://dx.doi.org/10.1155/2022/6888399 |
| spellingShingle | Andreas Hohl Vincent Kulke Georg-Peter Ostermeyer Insights through Modal Minimal Models for Analysis of Linear and Nonlinear Dynamic Problems Shock and Vibration |
| title | Insights through Modal Minimal Models for Analysis of Linear and Nonlinear Dynamic Problems |
| title_full | Insights through Modal Minimal Models for Analysis of Linear and Nonlinear Dynamic Problems |
| title_fullStr | Insights through Modal Minimal Models for Analysis of Linear and Nonlinear Dynamic Problems |
| title_full_unstemmed | Insights through Modal Minimal Models for Analysis of Linear and Nonlinear Dynamic Problems |
| title_short | Insights through Modal Minimal Models for Analysis of Linear and Nonlinear Dynamic Problems |
| title_sort | insights through modal minimal models for analysis of linear and nonlinear dynamic problems |
| url | http://dx.doi.org/10.1155/2022/6888399 |
| work_keys_str_mv | AT andreashohl insightsthroughmodalminimalmodelsforanalysisoflinearandnonlineardynamicproblems AT vincentkulke insightsthroughmodalminimalmodelsforanalysisoflinearandnonlineardynamicproblems AT georgpeterostermeyer insightsthroughmodalminimalmodelsforanalysisoflinearandnonlineardynamicproblems |