scholarly journals The renormalization solution for a class of relative rotation nonlinear dynamic model with multi-frequency excitation

2012 ◽  
Vol 61 (20) ◽  
pp. 200201
Author(s):  
Tang Rong-Rong
Keyword(s):  
Dynamic Model ◽  
Nonlinear Dynamic ◽  
Relative Rotation ◽  
Nonlinear Dynamic Model ◽  
Frequency Excitation

scholarly journals Approximate solution for a class of relative rotation nonlinear dynamic model

2011 ◽  
Vol 60 (4) ◽  
pp. 040203
Author(s):  
Mo Jia-Qi ◽  
Cheng Rong-Jun ◽  
Ge Hong-Xia
Keyword(s):  
Approximate Solution ◽  
Dynamic Model ◽  
Nonlinear Dynamic ◽  
Relative Rotation ◽  
Nonlinear Dynamic Model

Analysis of Tourism Ecology Capacity Based on the Nonlinear Dynamic Model

2009 ◽  
Vol 11 (2) ◽  
pp. 163-168
Author(s):  
Long LV ◽  
Zhenfang HUANG ◽  
Jiang WU
Keyword(s):  
Dynamic Model ◽  
Nonlinear Dynamic ◽  
Nonlinear Dynamic Model

A Nonlinear Dynamic Model of Short Run Fluctuations

1981 ◽  
Vol 48 (4) ◽  
pp. 649 ◽  
Author(s):  
Garry J. Schinasi
Keyword(s):  
Dynamic Model ◽  
Nonlinear Dynamic ◽  
Nonlinear Dynamic Model ◽  
Short Run

scholarly journals A comprehensive nonlinear dynamic model for ball screw feed system with rolling joint characteristics

2021 ◽  
Author(s):  
Mengtao Xu ◽  
Changyou Li ◽  
Hongzhuang Zhang ◽  
Zhendong Liu ◽  
Yimin Zhang
Keyword(s):  
Dynamic Model ◽  
Nonlinear Dynamic ◽  
Ball Screw ◽  
Nonlinear Dynamic Model ◽  
Feed System ◽  
Joint Characteristics ◽  
Screw Feed

scholarly journals Rattle dynamics of noncircular face gear under multifrequency parametric excitation

2021 ◽  
Vol 12 (1) ◽  
pp. 361-373
Author(s):  
Dawei Liu ◽  
Zhenzhen Lv ◽  
Guohao Zhao
Keyword(s):  
Dynamic Model ◽  
Parametric Excitation ◽  
Nonlinear Dynamic ◽  
Velocity Ratio ◽  
Harmonic Balance Method ◽  
Transmission Error ◽  
Dynamic Responses ◽  
Discrete Fourier Transformation ◽  
Nonlinear Dynamic Model ◽  
Face Gear

Abstract. A noncircular face gear (NFG) conjugated with a pinion is a new type of face gear which can transmit variable velocity ratio and in which two time-varying excitations exist, namely the meshing stiffness excitation and instantaneous center excitation. Considering the tooth backlash, static transmission error and multifrequency parametric excitation, a nonlinear dynamic model of the NFG pair is presented. Based on the harmonic balance method and discrete Fourier transformation, a semi-analytic approach for the nonlinear dynamic model is given to analyze the dynamic behaviors of the NFG. Results demonstrate that, with increase in the eccentric ratio, input velocity and error amplitude, the NFG will undergo a non-rattle, unilateral rattle and bilateral rattle state in succession, and a jump phenomenon will appear in the dynamic responses when the rattle state of the gears is transformed from unilateral rattle to bilateral rattle.

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