PRINCIPAL-INTERNAL RESONANCE OF AN AXIALLY MOVING THIN PLATE SUBJECTED TO DOUBLE LINE LOADS
Using Kirchhoff’s basic hypothesis and combining geometric equation with physical equation, the nonlinear vibration equation of axially moving thin plates was obtained by using Hamilton variation principle. In this paper, an axially moving strip plate with opposite hinged clamped boundary constraint...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | zho |
| Published: |
Editorial Office of Journal of Mechanical Strength
2022-01-01
|
| Series: | Jixie qiangdu |
| Subjects: | |
| Online Access: | http://www.jxqd.net.cn/thesisDetails#10.16579/j.issn.1001.9669.2022.02.001 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1841535913461547008 |
|---|---|
| author | XIE MengXue HU YuDa |
| author_facet | XIE MengXue HU YuDa |
| author_sort | XIE MengXue |
| collection | DOAJ |
| description | Using Kirchhoff’s basic hypothesis and combining geometric equation with physical equation, the nonlinear vibration equation of axially moving thin plates was obtained by using Hamilton variation principle. In this paper, an axially moving strip plate with opposite hinged clamped boundary constraints under double-periodic line load was studied. Considering the first two modes and setting the displacement solution. By using Galerkin method and the method of multiple scales, the amplitude frequency response equation of the system under 1∶3 internal resonance and external excitation combined resonance under double-excitation was derived. By calculation examples, the characteristic curves of the first two resonance amplitudes varying with frequency tuning parameters and external excitation were obtained. The effects of the axial velocity of plate and the position of the external excitation force on the resonance characteristics of the system were discussed. The results show that the internal resonance characteristics of the system are obvious, and present the complex multi solution and combination resonance characteristics. |
| format | Article |
| id | doaj-art-11d9ac98eeef45c198ea193003bf31fa |
| institution | Kabale University |
| issn | 1001-9669 |
| language | zho |
| publishDate | 2022-01-01 |
| publisher | Editorial Office of Journal of Mechanical Strength |
| record_format | Article |
| series | Jixie qiangdu |
| spelling | doaj-art-11d9ac98eeef45c198ea193003bf31fa2025-01-15T02:24:38ZzhoEditorial Office of Journal of Mechanical StrengthJixie qiangdu1001-96692022-01-014425526229911440PRINCIPAL-INTERNAL RESONANCE OF AN AXIALLY MOVING THIN PLATE SUBJECTED TO DOUBLE LINE LOADSXIE MengXueHU YuDaUsing Kirchhoff’s basic hypothesis and combining geometric equation with physical equation, the nonlinear vibration equation of axially moving thin plates was obtained by using Hamilton variation principle. In this paper, an axially moving strip plate with opposite hinged clamped boundary constraints under double-periodic line load was studied. Considering the first two modes and setting the displacement solution. By using Galerkin method and the method of multiple scales, the amplitude frequency response equation of the system under 1∶3 internal resonance and external excitation combined resonance under double-excitation was derived. By calculation examples, the characteristic curves of the first two resonance amplitudes varying with frequency tuning parameters and external excitation were obtained. The effects of the axial velocity of plate and the position of the external excitation force on the resonance characteristics of the system were discussed. The results show that the internal resonance characteristics of the system are obvious, and present the complex multi solution and combination resonance characteristics.http://www.jxqd.net.cn/thesisDetails#10.16579/j.issn.1001.9669.2022.02.001Thin plateAxially movingCombination resonanceLine loadThe method of multiple scales |
| spellingShingle | XIE MengXue HU YuDa PRINCIPAL-INTERNAL RESONANCE OF AN AXIALLY MOVING THIN PLATE SUBJECTED TO DOUBLE LINE LOADS Jixie qiangdu Thin plate Axially moving Combination resonance Line load The method of multiple scales |
| title | PRINCIPAL-INTERNAL RESONANCE OF AN AXIALLY MOVING THIN PLATE SUBJECTED TO DOUBLE LINE LOADS |
| title_full | PRINCIPAL-INTERNAL RESONANCE OF AN AXIALLY MOVING THIN PLATE SUBJECTED TO DOUBLE LINE LOADS |
| title_fullStr | PRINCIPAL-INTERNAL RESONANCE OF AN AXIALLY MOVING THIN PLATE SUBJECTED TO DOUBLE LINE LOADS |
| title_full_unstemmed | PRINCIPAL-INTERNAL RESONANCE OF AN AXIALLY MOVING THIN PLATE SUBJECTED TO DOUBLE LINE LOADS |
| title_short | PRINCIPAL-INTERNAL RESONANCE OF AN AXIALLY MOVING THIN PLATE SUBJECTED TO DOUBLE LINE LOADS |
| title_sort | principal internal resonance of an axially moving thin plate subjected to double line loads |
| topic | Thin plate Axially moving Combination resonance Line load The method of multiple scales |
| url | http://www.jxqd.net.cn/thesisDetails#10.16579/j.issn.1001.9669.2022.02.001 |
| work_keys_str_mv | AT xiemengxue principalinternalresonanceofanaxiallymovingthinplatesubjectedtodoublelineloads AT huyuda principalinternalresonanceofanaxiallymovingthinplatesubjectedtodoublelineloads |