[1]ZHAO Gui-fengZHANG Meng,LI Jie,CHEN Huai.Response Analysis of Non-linear Vibration of High-VoltageTransmission Conductors[J].Journal of Zhengzhou University (Engineering Science),2013,34(03):72-75.[doi:10.3969/j.issn.1671-6833.2013.03.018]
                                
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                                    Journal of Zhengzhou University (Engineering Science)[ISSN
                                    1671-6833/CN
                                    41-1339/T] Volume:
                                    34
                                    Number of periods:
                                    2013 03
                                    Page number:
                                    72-75
                                    Column:
                                    
                                    Public date:
                                    2013-05-31
                                
                                
                                    - Title:
- 
                                        Response Analysis of Non-linear Vibration of High-VoltageTransmission Conductors
                                    - Author(s):
- 
                                        ZHAO Gui-feng1; 2ZHANG Meng1; LI Jie2; CHEN Huai’
- 
                                        1.School of Civil Engineering, Zhengahou University , Zhengzhou 450001 , China; 2.School of Civil Engineering,Tongi Uni-versity ,Shanghai 200092,China
- 
                                
                                    - Keywords:
- 
                                        transmission conductor; nonlinear vibration; primary resonance; subharmonic resonance;  super-harmonic resonance; internal resonance due to closely spaced natural frequency
                                    - CLC:
- 
                                        TU351 TU32/399
                                    - DOI:
- 
                                        10.3969/j.issn.1671-6833.2013.03.018
                                    - Abstract:
- 
                                        To investigate the nonlinear vibration characteristics of high-voltage transmission conductors causedby geometrical nonlinearity , the 3D dynamical equations of the horizontal suspended transmission conductorsare derived through the expanded Hamilton ’s principle. Then the equations are reduced to 2D dynamical e-quations and are diverted into a set of ordinary differential equations through Galerkin procedure by assuming amodel deflection shape. Coupled out-of-plane and in-plane responses of the conductors under harmonic exter-nal excitation are studied by means of fouth-orderRunge-Kutta method. The results show that the nonlinearityproduces the primary resonance,the subharmonic resonance and the superharmonic resonance. Energy transi-tion phenomena may take place between out-of-plane vibrations and in-plane vibrations because of the internalresonance due to closely spaced natural frequencies. When the out-of-plane vibration is initiated, the in-planevibration can be excited and the response is periodic,changing the natural vibration characteristics of the sys-tem simultaneously.