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薄型鋸片鋸切硬脆石材橫向振動模型
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國家高技術(shù)研究發(fā)展計(jì)劃(863計(jì)劃)資助項(xiàng)目(2012AA0202)和山東省科技發(fā)展計(jì)劃資助項(xiàng)目(2010G2X20604)


Analytical Model of Transverse Vibration of Thin Type Circular Saw in Sawing Hard and Brittle Stone
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    摘要:

    分析了金剛石圓盤鋸鋸切石材過程中節(jié)徑型橫向振動的形成原因,發(fā)現(xiàn)行波振動中鋸齒邊緣的波動變形導(dǎo)致了鋸切力形成附加軸向力。在與鋸片同轉(zhuǎn)速的旋轉(zhuǎn)坐標(biāo)系下推導(dǎo)了軸向附加力的數(shù)學(xué)模型,進(jìn)而建立了石材鋸切過程中鋸片橫向振動模型。基于Newmark方法設(shè)計(jì)了振動模型的求解算法,并編寫了仿真程序。為了驗(yàn)證模型的有效性,進(jìn)行了石材加工生產(chǎn)現(xiàn)場鋸片的橫向振動監(jiān)測實(shí)驗(yàn),對鋸片不同位置、不同工藝參數(shù)下的橫向振動值進(jìn)行了測量。6組振動模型的計(jì)算結(jié)果與對照實(shí)驗(yàn)結(jié)果的誤差不超過13%,驗(yàn)證了模型的有效性。

    Abstract:

    Based on analysis of the reason of nodal diameter transverse vibration of thin type circular saw in sawing the stone, it was found out that the wave of the wavy deformation of traveling wave on the saw edge led to the additional axial force of sawing force. The mathematical model of axial additional force was deduced by traveling wave theory in a rotating coordinate system with the same rotational speed as the diamond circular saw, and then the transverse vibration model of diamond saw blade was built by using the thin plate theory of elastic mechanics. The model was pretreated by using complex analysis theory and some proper mathematical methods. The solving algorithm for transverse vibration model and the simulation program were designed based on the Newmark method. In order to verify the validity of the model, a transverse vibration monitoring experiment was completed in the stone producing spot. The transverse vibration of two positions of the diamond saw blade was measured under different process parameters. The error between simulation result and experimental result was less than 13%, therefore, the correctness of the model was verified. The established transverse vibration model could provide theoretical support for optimization of saw blade structure, design of sawing machine tool, noise reduction in sawing process and improvement of the machining surface quality.

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白碩瑋,張進(jìn)生,王長會,王志,黃波,程鵬.薄型鋸片鋸切硬脆石材橫向振動模型[J].農(nóng)業(yè)機(jī)械學(xué)報(bào),2015,46(2):372-378,371. Bai Shuowei, Zhang Jinsheng, Wang Changhui, Wang Zhi, Huang Bo, Cheng Peng. Analytical Model of Transverse Vibration of Thin Type Circular Saw in Sawing Hard and Brittle Stone[J]. Transactions of the Chinese Society for Agricultural Machinery,2015,46(2):372-378,371.

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  • 收稿日期:2014-02-27
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  • 在線發(fā)布日期: 2015-02-10
  • 出版日期: 2015-02-10
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