Closure to “Discussion of ‘Torsional Response of a Gear Train System’” (1972, ASME J. Eng. Ind., 94, pp. 592–593)

1972 ◽  
Vol 94 (2) ◽  
pp. 593-594
Author(s):  
S. M. Wang ◽  
I. E. Morse
Keyword(s):  
Gear Train ◽  
Torsional Response ◽  
Train System

Torsional Response of a Gear Train System

1972 ◽  
Vol 94 (2) ◽  
pp. 583-592 ◽  
Author(s):  
S. M. Wang ◽  
I. E. Morse
Keyword(s):  
Numerical Solutions ◽  
Coupling Effect ◽  
Gear Tooth ◽  
Gear Train ◽  
Mode Shapes ◽  
Mass System ◽  
Low Frequencies ◽  
Torsional Response ◽  
Applied Forces ◽  
Train System

A gear train system can be represented by a spring-mass system having many degrees of freedom. The transfer matrix technique [1, 2] has been applied to give the static and dynamic torsional response of a general gear train system. The method develops, directly from drawings, all equations necessary for the solution of the problem. Effects that can be included in the formulation are the gear tooth stiffnesses, gear web stiffness, nonuniform cross section of shafts, external torques, special types of joints, general boundary conditions, and multi-geared branched systems. A general computer program has been written to obtain numerical solutions. The experimental evaluation of a gear train system has been conducted using an electrohydraulic exciter and an Automatic Mechanical Impedance Transfer Function Analyzer System (TFA). The spindle shaft of a non-rotating, preloaded gear train system is excited by applied forces in the bending and torsional directions. The computed torsional natural frequencies and mode shapes correlate at low frequencies. At higher frequencies, there is a coupling effect between the motion in torsion and transverse motions. The presented analytical and experimental technique may be a practical method to evaluate the torsional response of a gear train system.

scholarly journals Dynamic analysis of planetary gear train system with double moduli and pressure angles

2018 ◽  
Vol 211 ◽  
pp. 17003
Author(s):  
Heyun Bao ◽  
Guanghu Jin ◽  
Fengxia Lu ◽  
Rupeng Zhu ◽  
Xiaozhu Zou
Keyword(s):  
Differential Equation ◽  
Integration Method ◽  
High Reliability ◽  
Planetary Gear ◽  
Gear Transmission ◽  
Gear Train ◽  
Numerical Integration Method ◽  
Planetary Gear Train ◽  
Low Weight ◽  
Train System

The planetary gear transmission with double moduli and pressure angles gearing is proposed for meeting the low weight high reliability requires. A dynamic differential equation of the NGW planetary gear train system with double and pressure angles is established. The 4-Order Runge-Kutta numerical integration method is used to solve the equations from which the result of the dynamic response is got. The dynamic load coefficients are formulated and are compared with those of the normal gear train．The double modulus planetary gear transmission is designed and manufactured. The experiment of operating and vibration are carried out and provides.

scholarly journals Positioning control of gear train system including a flexible shaft.

1986 ◽  
Vol 52 (482) ◽  
pp. 2623-2630
Author(s):  
Osamu SATO ◽  
Hiroshi SHIMOJIMA ◽  
Osamu YAMASHITA
Keyword(s):  
Gear Train ◽  
Positioning Control ◽  
Flexible Shaft ◽  
Train System

Analysis of Nonlinear Transient Motion of a Geared Torsional

1974 ◽  
Vol 96 (1) ◽  
pp. 51-59 ◽  
Author(s):  
S. M. Wang
Keyword(s):  
Gear Tooth ◽  
Nonlinear Damping ◽  
Gear Train ◽  
Transient Motion ◽  
Closed Form Solutions ◽  
Torsional Response ◽  
Tooth Stiffness ◽  
Nonlinear Transient ◽  
Linear And Nonlinear ◽  
Torsional Analysis

The dynamic torsional analysis of gear train systems has implemented many practical system designs. A computer analysis to predict the steady-state torsional response of a gear train system is presented in reference [1]. The current paper extends this work to the linear and nonlinear transient analysis of complex torsional gear train systems. Factors considered in the formulation are time-varying gear tooth stiffness, gear web rigidity, gear tooth backlash, shafts of nonuniform cross section, linear and nonlinear damping elements, multishock loadings, and complex-geared branched systems. For linear systems, the equations of transient motion are derived and closed-form solutions can be obtained by the state transition method [2]. For nonlinear systems, numerical methods are also presented. The method may be used as a means to analyze gear train start/stop operational problems, as well as constant speed response subject to internal and external disturbances.

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