NONLINEAR PRIMARY RESONANCE OF A CIRCULAR SANDWICH PLATE UNDER STATIC LOAD
Based on Reissner’s sandwich plate theory,the nonlinear dynamic equations of the circular sandwich plate under static load are established by using the Hamilton principle. The axisymmetric nonlinear vibration differential equation of the plate under static load is obtained by Galerkin method. The am...
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| Format: | Article |
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Editorial Office of Journal of Mechanical Strength
2021-01-01
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| Series: | Jixie qiangdu |
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| Online Access: | http://www.jxqd.net.cn/thesisDetails#10.16579/j.issn.1001.9669.2021.05.001 |
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| author | GUO Wei DU GuoJun HU YuDa |
| author_facet | GUO Wei DU GuoJun HU YuDa |
| author_sort | GUO Wei |
| collection | DOAJ |
| description | Based on Reissner’s sandwich plate theory,the nonlinear dynamic equations of the circular sandwich plate under static load are established by using the Hamilton principle. The axisymmetric nonlinear vibration differential equation of the plate under static load is obtained by Galerkin method. The amplitude-frequency response equation of the primary resonance system is solved by means of a method of multiple scales,and the stability criterion of the steady motion of the system is obtained based on the Lyapunov stability theory. Through the numerical example,the amplitude-frequency response curves of primary resonance of the system with simply supported edge are obtained. The curves of the amplitude varying with static load,excitation and thickness of the core layer are plotted,respectively. The effects of different parameters on the resonance amplitude are discussed,and the stability of steady-state motions of the system is analyzed. |
| format | Article |
| id | doaj-art-cc5e1aee1b2d41bdbb48a27d4617bd45 |
| institution | Kabale University |
| issn | 1001-9669 |
| language | zho |
| publishDate | 2021-01-01 |
| publisher | Editorial Office of Journal of Mechanical Strength |
| record_format | Article |
| series | Jixie qiangdu |
| spelling | doaj-art-cc5e1aee1b2d41bdbb48a27d4617bd452025-01-15T02:25:28ZzhoEditorial Office of Journal of Mechanical StrengthJixie qiangdu1001-96692021-01-01431017102530611953NONLINEAR PRIMARY RESONANCE OF A CIRCULAR SANDWICH PLATE UNDER STATIC LOADGUO WeiDU GuoJunHU YuDaBased on Reissner’s sandwich plate theory,the nonlinear dynamic equations of the circular sandwich plate under static load are established by using the Hamilton principle. The axisymmetric nonlinear vibration differential equation of the plate under static load is obtained by Galerkin method. The amplitude-frequency response equation of the primary resonance system is solved by means of a method of multiple scales,and the stability criterion of the steady motion of the system is obtained based on the Lyapunov stability theory. Through the numerical example,the amplitude-frequency response curves of primary resonance of the system with simply supported edge are obtained. The curves of the amplitude varying with static load,excitation and thickness of the core layer are plotted,respectively. The effects of different parameters on the resonance amplitude are discussed,and the stability of steady-state motions of the system is analyzed.http://www.jxqd.net.cn/thesisDetails#10.16579/j.issn.1001.9669.2021.05.001Circular sandwich plateStatic loadPrimary resonanceStabilityMethod of multiple scales |
| spellingShingle | GUO Wei DU GuoJun HU YuDa NONLINEAR PRIMARY RESONANCE OF A CIRCULAR SANDWICH PLATE UNDER STATIC LOAD Jixie qiangdu Circular sandwich plate Static load Primary resonance Stability Method of multiple scales |
| title | NONLINEAR PRIMARY RESONANCE OF A CIRCULAR SANDWICH PLATE UNDER STATIC LOAD |
| title_full | NONLINEAR PRIMARY RESONANCE OF A CIRCULAR SANDWICH PLATE UNDER STATIC LOAD |
| title_fullStr | NONLINEAR PRIMARY RESONANCE OF A CIRCULAR SANDWICH PLATE UNDER STATIC LOAD |
| title_full_unstemmed | NONLINEAR PRIMARY RESONANCE OF A CIRCULAR SANDWICH PLATE UNDER STATIC LOAD |
| title_short | NONLINEAR PRIMARY RESONANCE OF A CIRCULAR SANDWICH PLATE UNDER STATIC LOAD |
| title_sort | nonlinear primary resonance of a circular sandwich plate under static load |
| topic | Circular sandwich plate Static load Primary resonance Stability Method of multiple scales |
| url | http://www.jxqd.net.cn/thesisDetails#10.16579/j.issn.1001.9669.2021.05.001 |
| work_keys_str_mv | AT guowei nonlinearprimaryresonanceofacircularsandwichplateunderstaticload AT duguojun nonlinearprimaryresonanceofacircularsandwichplateunderstaticload AT huyuda nonlinearprimaryresonanceofacircularsandwichplateunderstaticload |