Parametric Study on the Influence of Warping Deformation upon Natural Frequencies of Die Springs
The free vibrational characteristics of die springs are examined by Riccati transfer matrix method in this study. The warping deformation of spring’s cross section, as a new design factor, is incorporated into the differential equation of motion. Numerical simulations show that the warping deformati...
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| Format: | Article |
| Language: | English |
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Wiley
2016-01-01
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| Series: | Shock and Vibration |
| Online Access: | http://dx.doi.org/10.1155/2016/6231676 |
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| _version_ | 1832560333768622080 |
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| author | Ying Hao Junfeng Guan |
| author_facet | Ying Hao Junfeng Guan |
| author_sort | Ying Hao |
| collection | DOAJ |
| description | The free vibrational characteristics of die springs are examined by Riccati transfer matrix method in this study. The warping deformation of spring’s cross section, as a new design factor, is incorporated into the differential equation of motion. Numerical simulations show that the warping deformation is a significant role of the behavior of natural frequencies of die springs and should be considered carefully. Approximately 40% of the errors may occur if warping is neglected. The change laws of warping effect with the parameter variations of springs are also explored, including the height-to-width ratio of the cross section, the cylinder diameter, the helix pitch angle, and the number of coils. The warping effect exhibits the most remarkable changes with the variation in the height-to-width ratio of the cross section. However, this effect is not fairly sensitive to the changes in other parameters, and it is particularly significant when the cross section is relatively narrow regardless of the changes in other parameters. This study evidently answers the key scientific question: “under what working condition should the warping effect be considered or ignored?” The analysis results can be used to guide spring designers in engineering. |
| format | Article |
| id | doaj-art-a4e5046712a2437ab06878842281e2c7 |
| institution | Kabale University |
| issn | 1070-9622 1875-9203 |
| language | English |
| publishDate | 2016-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Shock and Vibration |
| spelling | doaj-art-a4e5046712a2437ab06878842281e2c72025-02-03T01:27:49ZengWileyShock and Vibration1070-96221875-92032016-01-01201610.1155/2016/62316766231676Parametric Study on the Influence of Warping Deformation upon Natural Frequencies of Die SpringsYing Hao0Junfeng Guan1School of Civil Engineering and Communication, North China University of Water Resources and Electric Power, Zhengzhou 450045, ChinaSchool of Civil Engineering and Communication, North China University of Water Resources and Electric Power, Zhengzhou 450045, ChinaThe free vibrational characteristics of die springs are examined by Riccati transfer matrix method in this study. The warping deformation of spring’s cross section, as a new design factor, is incorporated into the differential equation of motion. Numerical simulations show that the warping deformation is a significant role of the behavior of natural frequencies of die springs and should be considered carefully. Approximately 40% of the errors may occur if warping is neglected. The change laws of warping effect with the parameter variations of springs are also explored, including the height-to-width ratio of the cross section, the cylinder diameter, the helix pitch angle, and the number of coils. The warping effect exhibits the most remarkable changes with the variation in the height-to-width ratio of the cross section. However, this effect is not fairly sensitive to the changes in other parameters, and it is particularly significant when the cross section is relatively narrow regardless of the changes in other parameters. This study evidently answers the key scientific question: “under what working condition should the warping effect be considered or ignored?” The analysis results can be used to guide spring designers in engineering.http://dx.doi.org/10.1155/2016/6231676 |
| spellingShingle | Ying Hao Junfeng Guan Parametric Study on the Influence of Warping Deformation upon Natural Frequencies of Die Springs Shock and Vibration |
| title | Parametric Study on the Influence of Warping Deformation upon Natural Frequencies of Die Springs |
| title_full | Parametric Study on the Influence of Warping Deformation upon Natural Frequencies of Die Springs |
| title_fullStr | Parametric Study on the Influence of Warping Deformation upon Natural Frequencies of Die Springs |
| title_full_unstemmed | Parametric Study on the Influence of Warping Deformation upon Natural Frequencies of Die Springs |
| title_short | Parametric Study on the Influence of Warping Deformation upon Natural Frequencies of Die Springs |
| title_sort | parametric study on the influence of warping deformation upon natural frequencies of die springs |
| url | http://dx.doi.org/10.1155/2016/6231676 |
| work_keys_str_mv | AT yinghao parametricstudyontheinfluenceofwarpingdeformationuponnaturalfrequenciesofdiesprings AT junfengguan parametricstudyontheinfluenceofwarpingdeformationuponnaturalfrequenciesofdiesprings |