本文針對懸臂樑固定端夾持力大小對懸臂樑振動響應之影響,探討夾持力對自然頻率與阻尼比之影響。模擬分析方面,參考接觸摩擦物理模型建立懸臂樑運方程式,應用有限元素分析軟體LS-DYNA針對不同夾持力下之夾持結構做衝擊暫態響應分析。實驗部分,利用荷重元量測夾持力,進行模態實驗分析,獲得不同夾持力下之結構自然頻率。進而由實驗所得之時間響應數據推算阻尼比值,可探討夾持鋁片夾持力與阻尼比之關係。結果顯示,當夾持懸臂樑結構之夾持力越大自然頻率較高,顯示高剛性之結構特性,而夾持力大至一定值後,夾持面趨近於剛體夾持,而阻尼比隨夾持力越大,其值有減小之趨勢,夾持力大至一定值後,其能量之耗損非因夾持力所造成。
This paper studies of the influences of different clamping force on vibration response of the fixed side of the cantilever beam. First, referring contact-friction physical modal create the equation of motion for cantilever beam than analyzes the transient response of cantilever beam which clamped in different forces by ANSYS/LS-DYNA. Second, measure the clamping force by using load cell and carry out experimental method to gain the nature frequencies in different clamping forces .Than, use the experimental data to calculate the magnitudes of damping ratio, the relation between the change on clamping forces of cantilever beam and the magnitudes of damping ratio can be fined. The result shows that structural nature frequencies are strongly dependent on the clamped condition. Higher clamping forces generally result in higher natural frequency. When the force reach to a value that clamped surface will approximately approach to stiffness clamped. Lower damping ratio due to higher clamping forces and less energy consumed. When force reach to a value , energy consumed is not caused by the clamping force.
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