Method of multiple time scales;
Fractional derivative expansion method;
Free nonlinear damped vibrations;
Internal resonance;
Fractional derivative;
Suspension bridge;
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摘要:
The history of formulation of the efficient method for studying the nonlinear dynamic response of structures, damping features of which depend on natural frequencies of vibrations, is presented. This technique is the modified version of the method of multiple scales, the efficiency of which is illustrated by the examples of nonlinear vibrations of suspension bridges and plates subjected to the conditions of the internal resonances.
机构:
State Key Laboratory of Hydro-Science and Engineering, Tsinghua UniversityState Key Laboratory of Hydro-Science and Engineering, Tsinghua University
LIU TianYun
LI QingBin
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机构:
State Key Laboratory of Hydro-Science and Engineering, Tsinghua UniversityState Key Laboratory of Hydro-Science and Engineering, Tsinghua University
LI QingBin
ZHAO ChongBin
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机构:
Computational Geosciences Research Centre, Central South UniversityState Key Laboratory of Hydro-Science and Engineering, Tsinghua University
机构:
Tsinghua Univ, State Key Lab Hydrosci & Engn, Beijing 100084, Peoples R ChinaTsinghua Univ, State Key Lab Hydrosci & Engn, Beijing 100084, Peoples R China
Liu TianYun
Li QingBin
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机构:
Tsinghua Univ, State Key Lab Hydrosci & Engn, Beijing 100084, Peoples R ChinaTsinghua Univ, State Key Lab Hydrosci & Engn, Beijing 100084, Peoples R China
Li QingBin
Zhao ChongBin
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机构:
Cent S Univ, Computat Geosci Res Ctr, Changsha 410083, Hunan, Peoples R ChinaTsinghua Univ, State Key Lab Hydrosci & Engn, Beijing 100084, Peoples R China
机构:
Hebei United Univ, Coll Sci, Tangshan 063009, Peoples R China
Yanshan Univ, Coll Mech Engn, Qinhuangdao 066004, Peoples R ChinaHebei United Univ, Coll Sci, Tangshan 063009, Peoples R China
Yang, Ai-Min
Chen, Zeng-Shun
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机构:
Chongqing Jiaotong Univ, Sch Civil Engn & Architecture, Chongqing 400074, Peoples R ChinaHebei United Univ, Coll Sci, Tangshan 063009, Peoples R China
Chen, Zeng-Shun
Srivastava, H. M.
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机构:
Univ Victoria, Dept Math & Stat, Victoria, BC V8W 3R4, CanadaHebei United Univ, Coll Sci, Tangshan 063009, Peoples R China
Srivastava, H. M.
Yang, Xiao-Jun
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机构:
China Univ Min & Technol, Dept Math & Mech, Xuzhou 221008, Jiangsu, Peoples R ChinaHebei United Univ, Coll Sci, Tangshan 063009, Peoples R China
机构:
Thu Dau Mot Univ, Div Appl Math, Thu Dau Mot City, Binh Duong Prov, VietnamThu Dau Mot Univ, Div Appl Math, Thu Dau Mot City, Binh Duong Prov, Vietnam
Ngoc, Tran bao
Tuan, Nguyen Huy
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机构:
Thu Dau Mot Univ, Div Appl Math, Thu Dau Mot City, Binh Duong Prov, Vietnam
Univ Sci VNUHCM Ho Chi Minh City, Fac Math & Comp Sci, Ho Chi Minh City, VietnamThu Dau Mot Univ, Div Appl Math, Thu Dau Mot City, Binh Duong Prov, Vietnam
Tuan, Nguyen Huy
Sakthivel, R.
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机构:
Bharathiar Univ, Dept Appl Math, Coimbatore 641046, Tamil Nadu, IndiaThu Dau Mot Univ, Div Appl Math, Thu Dau Mot City, Binh Duong Prov, Vietnam
Sakthivel, R.
O'Regan, Donal
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机构:
Natl Univ Ireland Galway, Sch Math Stat & Appl Math, Galway, IrelandThu Dau Mot Univ, Div Appl Math, Thu Dau Mot City, Binh Duong Prov, Vietnam
O'Regan, Donal
EVOLUTION EQUATIONS AND CONTROL THEORY,
2022,
11
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: 439
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455