Optimal design of a hysteretically damped dynamic vibration absorber
In the optimization of dynamic vibration absorbers (DVAs), it is generally assumed that the damping force changes in proportion to the velocity of the object; this damping is called viscous damping. However, many DVAs used in practical applications are made of polymeric rubber materials having both...
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The Japan Society of Mechanical Engineers
2020
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oai:doaj.org-article:0e4d973c6b324d8fad5d70edb883bdfd2021-11-29T05:53:24ZOptimal design of a hysteretically damped dynamic vibration absorber2187-974510.1299/mej.19-00482https://doaj.org/article/0e4d973c6b324d8fad5d70edb883bdfd2020-03-01T00:00:00Zhttps://www.jstage.jst.go.jp/article/mej/7/2/7_19-00482/_pdf/-char/enhttps://doaj.org/toc/2187-9745In the optimization of dynamic vibration absorbers (DVAs), it is generally assumed that the damping force changes in proportion to the velocity of the object; this damping is called viscous damping. However, many DVAs used in practical applications are made of polymeric rubber materials having both restorative and damping effects. This polymer material is considered to show a hysteretic damping force that is proportional to the displacement rather than the velocity of the object. Despite the widespread use of such hysteretically damped DVAs, there are very few studies on their optimal design, and the design formula of the well-known general viscously damped DVA is presently used for the design of this type of DVA. This article reports the optimal solution of this hysteretically damped DVA. For generality, it is assumed that the primary system also has structural damping that can be treated as hysteretic damping. Three optimization criteria, namely the H∞ optimization, H2 optimization, and stability maximization criteria, were adopted for the optimization of the DVA. For the H∞ optimization and stability maximization criteria, exact algebraic solutions were successfully derived, and for the H2 criterion, simultaneous equations with six unknowns and their numerical solutions were obtained.Toshihiko ASAMIYoshito MIZUKAWAKeisuke YAMADAThe Japan Society of Mechanical Engineersarticlevibrationoptimal designhysteretically damped dynamic vibration absorberh∞ optimization criterionh2 optimization criterionstability maximization criteriondamped primary systemMechanical engineering and machineryTJ1-1570ENMechanical Engineering Journal, Vol 7, Iss 2, Pp 19-00482-19-00482 (2020) |
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DOAJ |
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DOAJ |
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EN |
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vibration optimal design hysteretically damped dynamic vibration absorber h∞ optimization criterion h2 optimization criterion stability maximization criterion damped primary system Mechanical engineering and machinery TJ1-1570 |
| spellingShingle |
vibration optimal design hysteretically damped dynamic vibration absorber h∞ optimization criterion h2 optimization criterion stability maximization criterion damped primary system Mechanical engineering and machinery TJ1-1570 Toshihiko ASAMI Yoshito MIZUKAWA Keisuke YAMADA Optimal design of a hysteretically damped dynamic vibration absorber |
| description |
In the optimization of dynamic vibration absorbers (DVAs), it is generally assumed that the damping force changes in proportion to the velocity of the object; this damping is called viscous damping. However, many DVAs used in practical applications are made of polymeric rubber materials having both restorative and damping effects. This polymer material is considered to show a hysteretic damping force that is proportional to the displacement rather than the velocity of the object. Despite the widespread use of such hysteretically damped DVAs, there are very few studies on their optimal design, and the design formula of the well-known general viscously damped DVA is presently used for the design of this type of DVA. This article reports the optimal solution of this hysteretically damped DVA. For generality, it is assumed that the primary system also has structural damping that can be treated as hysteretic damping. Three optimization criteria, namely the H∞ optimization, H2 optimization, and stability maximization criteria, were adopted for the optimization of the DVA. For the H∞ optimization and stability maximization criteria, exact algebraic solutions were successfully derived, and for the H2 criterion, simultaneous equations with six unknowns and their numerical solutions were obtained. |
| format |
article |
| author |
Toshihiko ASAMI Yoshito MIZUKAWA Keisuke YAMADA |
| author_facet |
Toshihiko ASAMI Yoshito MIZUKAWA Keisuke YAMADA |
| author_sort |
Toshihiko ASAMI |
| title |
Optimal design of a hysteretically damped dynamic vibration absorber |
| title_short |
Optimal design of a hysteretically damped dynamic vibration absorber |
| title_full |
Optimal design of a hysteretically damped dynamic vibration absorber |
| title_fullStr |
Optimal design of a hysteretically damped dynamic vibration absorber |
| title_full_unstemmed |
Optimal design of a hysteretically damped dynamic vibration absorber |
| title_sort |
optimal design of a hysteretically damped dynamic vibration absorber |
| publisher |
The Japan Society of Mechanical Engineers |
| publishDate |
2020 |
| url |
https://doaj.org/article/0e4d973c6b324d8fad5d70edb883bdfd |
| work_keys_str_mv |
AT toshihikoasami optimaldesignofahystereticallydampeddynamicvibrationabsorber AT yoshitomizukawa optimaldesignofahystereticallydampeddynamicvibrationabsorber AT keisukeyamada optimaldesignofahystereticallydampeddynamicvibrationabsorber |
| _version_ |
1718407568566517760 |