臺灣博碩士論文加值系統

本論文旨在建立一有效之有限單元分析程序以處理包括平型皮帶、V型皮帶、CVT等傳動系統之摩擦接觸問題。對於接觸面間摩擦接觸行為並予以研究探討。於有限單元分析程序中，增量型限制性泛函引入離心力項以模擬穩定旋轉傳動系統之角速度效應，進而推導求解皮帶傳動系統有限單元摩擦接觸分析之聯立代數方程組。
為描述皮帶柔軟易曲的材料性質，所建立之有限單元分析程序應用三維桿單元與八節點立方單元以模擬皮帶之拉伸層及橡膠層。並於八節點立方單元內部位移場加入增量型Wilson位移模式，改善求解接觸區兩端接觸曳力時，因彎矩效應所造成數值誤差。此外，利用適當摩擦接觸及負載條件以模擬皮帶與皮帶輪間實際摩擦物理現象。
對於平型皮帶傳動系統，本論文探討因皮帶變形及接觸面間摩擦接觸所產生主動輪與從動輪間角速度損失問題。 對於動摩擦係數、曳力係數及平型皮帶之材料性質等效應對角速度損失之影響亦予以研究。此外，本論文並分析角速度與動摩擦係數等效應對平形皮帶傳動系統摩擦接觸行為之影響。
於V型皮帶傳動系統摩擦接觸分析中， 動摩擦係數於正向及切向接觸力的影響，V型皮帶之變形， V型皮帶與皮帶輪接觸面間之接觸曳力，本論文均有分析探討。 V型皮帶截面邊上最可能磨耗之位置可於研究中獲得。
於CVT傳動系統研究中，本論文分析了角速度於V型皮帶與皮帶輪間摩擦接觸行為之效應。不同動摩擦係數下，V型皮帶截面邊上接觸點之摩擦角亦予計算求得。
本論文之研究內容將有助於皮帶傳動系統磨耗性質及操作效率評估。此外， 所發展之三維有限單元摩擦接觸分析程序亦可進一步應用於V型皮帶截面因扭曲造成皮帶與皮帶輪間失配合問題。對於如金屬材料之V型皮帶及齒型皮帶等不同型態傳動系統亦值得進一步分析探討。

This work presents a rigorous three-dimensional finite element frictional contact analysis procedure to analyze belt transmission systems, including the flat-belt, V-belt and continuously variable transmission (CVT) systems.
The frictional contact behavior on the contact surface,
which accounts for the power loss of the transmission systems
and the wear of the belt, is investigated in detail.
Based on the transformation matrix established for
satisfying the contact conditions on the contact surfaces
between the belt and pulleys,
an incremental restricted variational principle
with the centrifugal force term
is introduced to model the angular speed effect
of the transmission system operating at a constant angular speed.
Then, the simultaneous algebraic equations for the finite element
frictional contact analysis of the belt transmission system are formulated.
To model the flexible property of the belt,
the three-dimensional bar element and eight-node brick element
are employed to simulate the tension member and rubber layer
of the belt.
For evaluating the contact traction,
to improve the inaccuracy
at the end zones of the contact area due to bending effect,
the incremental Wilson displacement modes
are added to the displacement approximation
of the eight-node brick element.
In addition, appropriate frictional contact and loading conditions are provided
to simulate the physical contact phenomena between the belt and pulley.
For an operating flat-belt transmission system,
the angular speed loss between the driver and driven pulleys
induced by the deformation of the belt and the frictional contact
on the contact surfaces is analyzed.
The effects of dynamic friction coefficient,
traction coefficient and material properties
of the flat-belt on the angular speed loss are also studied.
The effects of angular speed and dynamic friction coefficient
on the contact behavior of the flat-belt transmission system
are presented as well.
On the frictional contact analysis of the V-belt transmission system,
the influences of dynamic friction coefficient
on the normal and tangential contact forces,
the deformation of the V-belt and the distribution of contact tractions
occurred on the contact surfaces
between the V-belt and pulley are thoroughly studied.
Thus, the most possible position of wear
at the edge of the V-belt cross-section
can be observed.
For the CVT system,
the effect of angular speed on the frictional contact behavior
between the V-belt and pulley flange is investigated.
The friction angles of contact points
along the edge of the V-belt cross section
are also evaluated for various dynamic friction coefficients.
The present work should be helpful for the estimation of wear properties
and operation efficiency for belt transmission systems.
Besides, the proposed three-dimensional
frictional contact finite element procedure
can be further applied to deal with the mismatched effect
between the V-belt and pulley flanges
which is caused by the distortion of V-belt cross section
as the belt bends surrounding the pulley.
The belt transmission systems with other types of belt,
such as metal V-belt or toothed-belt, etc,
are also worthwhile to be investigated in the future.

Acknowledgements
Abstract
Nomenclatures
Captions of Figures
Contents
1 Introduction
1.1 Motivation
1.2 Literature Review
1.3 The Construction of Belt Transmission Systems
1.3.1 The Flat-Belt Transmission System
1.3.2 The V-Belt Transmission System
1.3.3 The CVT System
1.4 Scopes and Objectives
2 Finite Element Formulation for Belt Transmission Systems
3 Incremental Wilson Displacement Modes
4 Finite Element Analysis Modeling
5 Angular Speed Loss Analysis
6 Results and Discussions
6.1 The Flat-Belt Transmission System
6.2 The V-Belt Transmission System
6.3 The CVT System
7 Conclusions and Future Recommendations
References
Figures

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