本文之主要研究目的為針對一沖床之齒輪九連桿驅動機構，探討其特性，並進行該機構尺寸及彈簧之最佳化設計。本文首先針對該機構建立其運動分析，及運動靜力分析模式，再搭配最佳設計的模式，設計符合剪斷加工需求的機構尺寸及彈簧尺寸。

在機構之運動分析方面，利用向量迴路法配合運動係數法，分析各個桿件之運動特性。在機構之運動靜力分析方面，分析在各桿上加入彈簧前後，對各桿件接頭力及輸入扭矩的變化，藉以了解彈簧作用力對機構運轉的影響。在機構尺寸最佳化設計方面，以靜力分析的模式配合最佳方法合成機構尺寸，使其達到精密剪斷加工的需求。在彈簧的尺寸最佳設計方面，以靜力分析的模式配合最佳方法合成彈簧的尺寸，以降低輸入扭矩及滑塊側向力之峰值。本文亦分別以實例顯示各種設計所得結果，並分析其特性。

本文針對一沖床之齒輪九連桿驅動機構建立系統化的分析模式，並可配合最佳設計合成其機構及彈簧尺寸，其結果應有助於業界研發相關類型之沖床驅動機構。

The main purposes of this study are to develop a systematic approach for the design and analysis of a geared nine-bar ram mechanism for some mechanical presses, and to synthesize the link and spring dimensions with optimization techniques. For the purposes, the models for analyzing the kinematics and kinetostatics of the mechanism are developed. Then, based on the models and the design requirements, the models for the optimal design of the mechanism are set up to determine the link and spring dimensions such that the characteristics of the mechanism can be improved.
For the kinematic analysis of the mechanism, the vector loop approach and kinematic coefficient are applied. Based on Newton’s second law, the model for the kinetostatic analysis of the mechanism with spring loads is developed. The differences of the bearing forces and input torques before and after adding a spring on each link can be investigated. Based on the results, adding springs on the ram and the rod connecting with the ram induces greater effects on the input torque and side force on the ram.
Multi-objective optimization techniques are applied to synthesize link dimensions of the mechanism to improve its characteristics subjected to the design requirements. Furthermore, they also used to optimize the dimensions of the springs adding on the ram and the rod connecting with the ram to reduce the input torque and side force on the ram. In addition, examples are included to show the design results and their characteristics.
In this study, a systematic approach for the design and analysis of the geared nine-bar ram mechanism is developed. The models can be integrated with the optimal dimensional synthesis and spring design of the mechanism. It is believed that the models developed and the results of this study should be helpful for the research and development of ram mechanisms on mechanical presses in industry.

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