NON-SMOOTH BIFURCATION OF A PLASTIC IMPАCTING OSCILLATOR
A single degree-of-freedom plastic impacting oscillator was considered under the conditions of grazing and codimension-1 bifurcations. Based on the two-and one-dimensional parameters bifurcation analysis、 the bifurcation characteristics of single-impact periodie motions was studied. The non-smooth b...
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Editorial Office of Journal of Mechanical Strength
2024-04-01
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| Series: | Jixie qiangdu |
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| Online Access: | http://www.jxqd.net.cn/thesisDetails#10.16579/j.issn.1001.9669.2024.02.002 |
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| author | WEI DongMei LÜ XiaoHong WANG Xin JIN Hua |
| author_facet | WEI DongMei LÜ XiaoHong WANG Xin JIN Hua |
| author_sort | WEI DongMei |
| collection | DOAJ |
| description | A single degree-of-freedom plastic impacting oscillator was considered under the conditions of grazing and codimension-1 bifurcations. Based on the two-and one-dimensional parameters bifurcation analysis、 the bifurcation characteristics of single-impact periodie motions was studied. The non-smooth bifurcations such as Crossing-sliding. Switching-sliding anc codimension-2 sliding bifurcations as well as the discontinuous bifureations such as grazing bifureation and uous boundary crisis were revealed. The non-sticking periodic motion and sticking periodic motion transit into each other via a crossing-sliding bifurcation. In the two-dimensional parameter region of the low frequency and small clearance, the periodic motions (1, 1, 1) and (1, 2, 1) are distributed alternately. The boundary between the two types of periodic motions is a switching-sliding bifurcation curve. The boundary crisis of chaos occurs leading the chaotic attractor and its basin to vanish. |
| format | Article |
| id | doaj-art-b7138af806e54b52a8eae97935dee76c |
| institution | Kabale University |
| issn | 1001-9669 |
| language | zho |
| publishDate | 2024-04-01 |
| publisher | Editorial Office of Journal of Mechanical Strength |
| record_format | Article |
| series | Jixie qiangdu |
| spelling | doaj-art-b7138af806e54b52a8eae97935dee76c2025-01-15T02:45:24ZzhoEditorial Office of Journal of Mechanical StrengthJixie qiangdu1001-96692024-04-014626427163929596NON-SMOOTH BIFURCATION OF A PLASTIC IMPАCTING OSCILLATORWEI DongMeiLÜ XiaoHongWANG XinJIN HuaA single degree-of-freedom plastic impacting oscillator was considered under the conditions of grazing and codimension-1 bifurcations. Based on the two-and one-dimensional parameters bifurcation analysis、 the bifurcation characteristics of single-impact periodie motions was studied. The non-smooth bifurcations such as Crossing-sliding. Switching-sliding anc codimension-2 sliding bifurcations as well as the discontinuous bifureations such as grazing bifureation and uous boundary crisis were revealed. The non-sticking periodic motion and sticking periodic motion transit into each other via a crossing-sliding bifurcation. In the two-dimensional parameter region of the low frequency and small clearance, the periodic motions (1, 1, 1) and (1, 2, 1) are distributed alternately. The boundary between the two types of periodic motions is a switching-sliding bifurcation curve. The boundary crisis of chaos occurs leading the chaotic attractor and its basin to vanish.http://www.jxqd.net.cn/thesisDetails#10.16579/j.issn.1001.9669.2024.02.002Non-smooth systemPlastic impactSliding bifurcationGrazing bifurcationBoundary crisis |
| spellingShingle | WEI DongMei LÜ XiaoHong WANG Xin JIN Hua NON-SMOOTH BIFURCATION OF A PLASTIC IMPАCTING OSCILLATOR Jixie qiangdu Non-smooth system Plastic impact Sliding bifurcation Grazing bifurcation Boundary crisis |
| title | NON-SMOOTH BIFURCATION OF A PLASTIC IMPАCTING OSCILLATOR |
| title_full | NON-SMOOTH BIFURCATION OF A PLASTIC IMPАCTING OSCILLATOR |
| title_fullStr | NON-SMOOTH BIFURCATION OF A PLASTIC IMPАCTING OSCILLATOR |
| title_full_unstemmed | NON-SMOOTH BIFURCATION OF A PLASTIC IMPАCTING OSCILLATOR |
| title_short | NON-SMOOTH BIFURCATION OF A PLASTIC IMPАCTING OSCILLATOR |
| title_sort | non smooth bifurcation of a plastic impаcting oscillator |
| topic | Non-smooth system Plastic impact Sliding bifurcation Grazing bifurcation Boundary crisis |
| url | http://www.jxqd.net.cn/thesisDetails#10.16579/j.issn.1001.9669.2024.02.002 |
| work_keys_str_mv | AT weidongmei nonsmoothbifurcationofaplasticimpactingoscillator AT luxiaohong nonsmoothbifurcationofaplasticimpactingoscillator AT wangxin nonsmoothbifurcationofaplasticimpactingoscillator AT jinhua nonsmoothbifurcationofaplasticimpactingoscillator |