scholarly journals On the Influence of Force Distribution and Boundary Condition on Helical Gear Stiffness

2015 ◽  
Vol 36 (3) ◽  
pp. 143-155
Author(s):  
Niels Leergaard Pedersen
Keyword(s):  
Boundary Condition ◽  
Helical Gear ◽  
Force Distribution

Friction Force Distribution Along Time-Varying Contact Line in Helical Gear System

2012 ◽  
Author(s):  
Wen-liang Li ◽  
Li-qin Wang
Keyword(s):  
Friction Force ◽  
Contact Line ◽  
Helical Gear ◽  
Gear System ◽  
Shape Design ◽  
Force Distribution ◽  
Time Varying ◽  
Fundamental Theory ◽  
Impact Reduction ◽  
Instantaneous Position

Based on the theory of energy minimization, a numerical algorithm was developed to calculate friction force distribution along the time-varying contact line in helical gear system. The friction force distribution varies with the instantaneous position of the meshing point and the length of contact line. The friction force was calculated on every meshing point of time-varying contact line via the algorithm. The results show the friction force becomes larger from the tooth root to the pitch point and becomes smaller from the pitch point to the tooth tip. Due to this, there is a significant shock at the pitch point which will generate noise and vibration. The changing law of friction force distribution provides a fundamental theory for modification shape design and impact reduction.

A NOVEL DESIGN OF AN ELECTRIC POWER-ASSISTED BIKE BASED ON HELICAL GEARS

2017 ◽  
Vol 41 (5) ◽  
pp. 845-854
Author(s):  
Chung-Yu Tsai*
Keyword(s):  
Mathematical Model ◽  
Electric Power ◽  
Force Sensor ◽  
Helical Gear ◽  
Design Rule ◽  
Force Distribution ◽  
Electric Power Output ◽  
Helical Gears ◽  
Parameter Values ◽  
Novel Design

An electric power-assisted bike (EPAB) is a bicycle with an attached electric motor to assist with human pedaling, where the electric power output of the motor is provided in accordance with the pedaling-force. This makes the pedaling-force sensor (PFS), which is used to sense the human pedaling force, the critical device in the EPAB. Accordingly, the present study proposes a novel design for the PFS, comprising of a helical gear system and an annular magnet device. The study then develops a mathematical model for the force distribution on the helical gears, and provides a general design rule to determine the parameter values of the PFS which will prevent a self-lock situation. A prototype is produced to verify and demonstrate the proposed approach.

One-Dimensional Fin-Tip Boundary Condition Correction II

2001 ◽  
Vol 22 (5) ◽  
pp. 35-40 ◽  
Author(s):  
D. C. Look Jr ◽  
Arvind Krishnan
Keyword(s):  
Boundary Condition ◽  
One Dimensional

Sturm-Liouville Problem for Stationary Differential Operator with Nonlocal Two-Point Boundary Conditions

2006 ◽  
Vol 11 (1) ◽  
pp. 47-78 ◽  
Author(s):  
S. Pečiulytė ◽  
A. Štikonas
Keyword(s):  
Boundary Condition ◽  
Differential Operator ◽  
Boundary Conditions ◽  
Nonlocal Boundary Condition ◽  
Nonlocal Boundary ◽  
Liouville Problem ◽  
Complex Case ◽  
Qualitative Behavior ◽  
Point Boundary ◽  
Sturm Liouville

The Sturm-Liouville problem with various types of two-point boundary conditions is considered in this paper. In the first part of the paper, we investigate the Sturm-Liouville problem in three cases of nonlocal two-point boundary conditions. We prove general properties of the eigenfunctions and eigenvalues for such a problem in the complex case. In the second part, we investigate the case of real eigenvalues. It is analyzed how the spectrum of these problems depends on the boundary condition parameters. Qualitative behavior of all eigenvalues subject to the nonlocal boundary condition parameters is described.

Space creation, structural construction and force distribution

2013 ◽  
Vol 4 (1) ◽  
pp. 1-12
Author(s):  
G. Lámer
Keyword(s):  
The Other ◽  
Frame Structure ◽  
Force Distribution ◽  
Independent Components ◽  
Other Hand

Abstract The paper is an overview of issues related to the space creation of a building, possibilities of developing frame structure and connections of force distribution in the construction. In plane the force distribution can be compression, bending and tension. In space “enclosing” a geometric solid means space creation. In space as it is to be expected, the force distribution must be compression, bending and tension in two different directions at the same time. This can be really variant but in the case of surface or surface-like constructions generated by translations (and/or rotations) on one hand, there are some other surfaces, which cannot be generated by translations (and/or rotations), on the other hand, the dimension of the inside “forces” is not two but three (independent components of a two-by-two tensor either in the case of compression tension, or in the case of bending). By this, force distribution is more complicated in space than in plane.

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