Dropping Impact Characteristics Analysis of a Cubic Nonlinear Packaging System with a Cantilever Beam Type Elastic Critical Component with Concentrated Tip Mass
A mathematical model for a cubic nonlinear packaging system with a cantilever beam type critical component with concentrated tip mass is proposed. The finite element method and the implicit finite difference method together with the Rung-Kutta method are applied to study the dropping impact dynamics...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2015-01-01
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| Series: | Shock and Vibration |
| Online Access: | http://dx.doi.org/10.1155/2015/602984 |
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| _version_ | 1850211118474067968 |
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| author | Meng Hao An-Jun Chen |
| author_facet | Meng Hao An-Jun Chen |
| author_sort | Meng Hao |
| collection | DOAJ |
| description | A mathematical model for a cubic nonlinear packaging system with a cantilever beam type critical component with concentrated tip mass is proposed. The finite element method and the implicit finite difference method together with the Rung-Kutta method are applied to study the dropping impact dynamics of the critical component and the effect of system parameters, such as the value of the concentrated tip mass and the frequency of the main component, is discussed. The results show that the relative displacement and acceleration change remarkably with the length of the cantilever beam, and the maximum internal stress occurs at the joint end of the critical component. With the increase of the value of the concentrated tip mass and/or a higher frequency of the main component, the amplitudes of the responses increase obviously. |
| format | Article |
| id | doaj-art-896b9c892a264e75b0c7362bb549c0d7 |
| institution | OA Journals |
| issn | 1070-9622 1875-9203 |
| language | English |
| publishDate | 2015-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Shock and Vibration |
| spelling | doaj-art-896b9c892a264e75b0c7362bb549c0d72025-08-20T02:09:37ZengWileyShock and Vibration1070-96221875-92032015-01-01201510.1155/2015/602984602984Dropping Impact Characteristics Analysis of a Cubic Nonlinear Packaging System with a Cantilever Beam Type Elastic Critical Component with Concentrated Tip MassMeng Hao0An-Jun Chen1School of Mechanical Engineering, Jiangnan University, Wuxi 214122, ChinaSchool of Mechanical Engineering, Jiangnan University, Wuxi 214122, ChinaA mathematical model for a cubic nonlinear packaging system with a cantilever beam type critical component with concentrated tip mass is proposed. The finite element method and the implicit finite difference method together with the Rung-Kutta method are applied to study the dropping impact dynamics of the critical component and the effect of system parameters, such as the value of the concentrated tip mass and the frequency of the main component, is discussed. The results show that the relative displacement and acceleration change remarkably with the length of the cantilever beam, and the maximum internal stress occurs at the joint end of the critical component. With the increase of the value of the concentrated tip mass and/or a higher frequency of the main component, the amplitudes of the responses increase obviously.http://dx.doi.org/10.1155/2015/602984 |
| spellingShingle | Meng Hao An-Jun Chen Dropping Impact Characteristics Analysis of a Cubic Nonlinear Packaging System with a Cantilever Beam Type Elastic Critical Component with Concentrated Tip Mass Shock and Vibration |
| title | Dropping Impact Characteristics Analysis of a Cubic Nonlinear Packaging System with a Cantilever Beam Type Elastic Critical Component with Concentrated Tip Mass |
| title_full | Dropping Impact Characteristics Analysis of a Cubic Nonlinear Packaging System with a Cantilever Beam Type Elastic Critical Component with Concentrated Tip Mass |
| title_fullStr | Dropping Impact Characteristics Analysis of a Cubic Nonlinear Packaging System with a Cantilever Beam Type Elastic Critical Component with Concentrated Tip Mass |
| title_full_unstemmed | Dropping Impact Characteristics Analysis of a Cubic Nonlinear Packaging System with a Cantilever Beam Type Elastic Critical Component with Concentrated Tip Mass |
| title_short | Dropping Impact Characteristics Analysis of a Cubic Nonlinear Packaging System with a Cantilever Beam Type Elastic Critical Component with Concentrated Tip Mass |
| title_sort | dropping impact characteristics analysis of a cubic nonlinear packaging system with a cantilever beam type elastic critical component with concentrated tip mass |
| url | http://dx.doi.org/10.1155/2015/602984 |
| work_keys_str_mv | AT menghao droppingimpactcharacteristicsanalysisofacubicnonlinearpackagingsystemwithacantileverbeamtypeelasticcriticalcomponentwithconcentratedtipmass AT anjunchen droppingimpactcharacteristicsanalysisofacubicnonlinearpackagingsystemwithacantileverbeamtypeelasticcriticalcomponentwithconcentratedtipmass |