本文探討中碳鋼外徑車削加工中負阻尼顫振與再生顫振兩種不同發生機制之系統穩定性及其抑制方法。首先針對振源為切向力所激發之負阻尼型顫振進行探討並建立其模型，基於切向力隨切速增加而降低現象，將穩態切速之切向比切削力線性化後獲得比製程負阻尼係數，並定義製程負阻尼係數為實驗求得之比製程阻尼係數與切厚及切寬之乘積，若製程負阻尼係數之值抵銷正結構阻尼係數，即可能產生負阻尼型顫震；由此製程負阻尼係數為可求得之已知結構阻尼加工系統之極限切屑負載，作為迴避負阻尼型顫振之參考。接著並根據實驗中顫振極限環現象建立同時考慮負與正製程阻尼之非線性切削系統模式，以整合式感測系統獲得其負阻尼型顫振之關鍵參數，探討製程參數顫振極限環軌跡特徵之影響。
由刀尖之犁切效應所產生之製程正阻尼力，增加系統穩定性並抑制再生顫振發生，除參考穩定葉瓣圖迴避再生顫振外，可透過週期性轉速調變進一步抑制。本文探討模擬使用時滯週期近似方法於不同調變參數下之誤差，建立誤差修正關係式給予補償，並改良半離散法演算效率，最後提出加工變轉速可行性分析與調變參數選用策略。考慮兩種共存顫振機制之加工系統穩定圖，提供更完整滿足穩定加工條件之轉速、切寬與切深範圍以為車削製程參數選用之參考。

In this research, the stability analysis of turning process of medium carbon steel under negative process damping (NPD) is discussed. Due to high complexity in the machining process, the cutting force is considered as highly nonlinear. As the phenomenon of the cutting force decreases with the increase of cutting speed, an NPD-involved system is established with linearization at local force-cutting speed profile. A decisive parameter, specific process damping coefficient, is proposed to quantify the amount of process-generated negative damping coefficient per unit chip load area. If resultant damping in the system is reduced to none or negative, the NPD chatter may be aroused. With such criteria, the limiting chip load area can be calculated as a strategy for selection of the process parameter. In addition to the occurrence prediction, the limit motion trajectory can be observed from experiment. Apart from NPD effect, it is reasonable to infer the positive process damping (PPD) effects exist in the process, sustaining the vibration energy over cycles. The V-shaped nonlinear force model as a function of cutting speed. Four characteristic parameters are used to describe the process under this model, namely, the distance between steady cutting speed and the speed at lowest force on profile, the force ratio of cut and feed directions, the initial negative damping effect on the left side of the V-shaped profile as well as the assumed positive damping effect on the other side. From time domain simulation, the limit cycle of chatter vibration is calculated and compared with the amplitude from experiment results. Although this proposed model is simplified with the dual linear force-speed relation, the good agreement in amplitude from experiment in cut and feed directions allows it to be an explanation of the limit oscillation under the NPD chatter.
On the top of the NPD chatter, the often-discussed regenerative chatter, is also studied with the influence of PPD. The type of chatter results from dynamic chip thickness and leads serious vibration and damage to machining quality, tool and machine itself. Considering chip thickness regeneration, PPD effect would be generated as a result of tool vibration perpendicular to the cutting direction, preventing the system from going chatter. In last half of the research, a comprehensive investigation of PPD effect and speed modulation turning process is studied. In addition, some minor issues on time simulation: parallel computing, error compensation, timestep resolution and matrix manipulations are applied to reach the strategy as a result.

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