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1、<p><b>  附  錄</b></p><p><b>  附錄A</b></p><p>  An Analysis of Idling Vibration for a Frame Structured Vehicle</p><p><b>  ABSTRACT</b></p

2、><p>  A finite element model for an entire frame-structured sports utility vehicle was made to evaluate the characteristics of the idling vibrations for the vehicle. The engine exciting forces were determined

3、by Souma's method to simulate the idling vibrations. The modeling of the power plant and the entire vehicle was verified by the reasonable agreement of the experiment and calculation results. Attention was focused on

4、 the frequency of the first-order vertical bending mode for the frame. It has bec</p><p>  INTRODUCTION</p><p>  One of the defects of a diesel vehicle, which has fuel and economical efficiency,

5、 is idling vibration for a vehicle body. In a diesel engine, sharp pressure rise caused by the generation of the thermal energy affects the pistons. In the crank system, which converts the linear motion into the rotary

6、motion, two types of reaction forces excite the engine block: the reaction caused by the alternation of the velocity vector in each moving parts, and by the non-uniform rotary motion generated by the</p><p>

7、  The idling vibration for large-sized commercial vehicles was estimated at the early development stage, and the measures against the vibration were taken by simulating the engine exciting forces with Souma‘s method,and

8、entering them to a vehicle model.</p><p>  In this paper, the idling vibration was determined by entering the engine exciting forces to the vehicle model, which was made of the finite element of the frame an

9、d the body for a small-sized recreational vehicle (RV). Also in this paper, how the natural modes for the frame changes in the vehicle condition is analyzed, and it was indicated that the natural frequency of the first-

10、order vertical bending for the frame had a significant effect.</p><p>  ANALYSIS OF THE VEHICLE BODY VIBRATION</p><p>  Figure 1 shows the results of analyzing the frequencies of the acceleratio

11、n in vertical vibration generated on the seat rail while idling in small-sized RV powered by 4-cylinder diesel engine. The main part of the idling vibration is the second-order engine rotation. The 0.5th, 1st, and 1.5th

12、-orders are also critical. However, these orders are caused by the varied combustion between cylinders. A measure against the varied combustion can be expected by improving the injection system. In this res</p>&l

13、t;p>  IDENTIFICATION OF THE ENGINE EXCITING FORCE</p><p>  There are three paths for the engine to excite vibration to a vehicle body: through an engine mount, a driving system, and a tail pipe. In this p

14、aper, the path through an engine mount, which has a greatest effect, is studied. The various types of methods to identify the exciting force through an engine mount are known. In this paper, Souma’s method is used.</p

15、><p>  OUTLINE OF SOUMA’S METHOD</p><p>  The cause of the exciting force to an engine block in the controversial frequency domain of the idling vibration is considered. First, the combustion press

16、ure that acts on the pistons is considered to cause the vibration. However, assuming that a piston crankshaft does not move with a flywheel and an engine block fixed in some way, the engine components are supposed to be

17、completely rigid in this frequency domain. In this situation, the engine block will not vibrate if the piston crankshaft does</p><p>  Accordingly, the direct cause of the engine block vibration is not the c

18、ombustion pressure but the reaction against the piston crankshaft movement. To determine the exciting force to the engine block, the reaction forces against the movement of the mass (mainly in crank system and piston sys

19、tem), which works inside and outside of the engine block, may be calculated.</p><p>  In Souma’s method, the non-uniform rotary motion in the crank system is found by measuring the pulse generated in a ring

20、gear of the flywheel. Then, the vertical motion in the connected piston system is calculated to determine the exciting force to the engine block using each mass specification value.</p><p>  VERIFICATION OF

21、THE ACCURACY IN THE EXCITING FORCE</p><p>  The exciting forces are added at the point corresponding to the crankshaft on the entire vehicle model (described later). The vibration on the head cover and the r

22、ight engine foot, which the exciting forces mostly affect, is estimated. The results of comparing the calculation with the experiment are shown in Figure 2 and 3. In Figure 2 and 3, 5 types of calculated results are show

23、n considering the idling rotation speed changes.</p><p>  In Figure 2 and 3, the calculation and the experiment are identified around 24 Hz, 48 Hz, and 72 Hz of 2nd, 4th, and 6th-orders at the speed of 720 r

24、pm. The data of the left engine foot, which is not shown in this paper, is also almost identified. In this frequency domain, as for the vibration, the engine and the vehicle body are insulated by the engine mount. The bo

25、dy hardly affects the engine vibration. As the data of the experiment and the calculation is identified in this domain, the power p</p><p>  However, around 12 Hz of 1st-orders, data is not much identified.

26、In this frequency domain, the vibration of the engine and the vehicle body are mutually coupled through the engine mount. Therefore, the accuracy of the vehicle body model has a damaging effect.</p><p>  IMP

27、ROVEMENT OF THE MEASURING ACCURACY IN LOW-FREQUENCY VIBRATION</p><p>  The engine exciting force was determined using Souma’s method, and the vibration in each part of the engine was calculated by adding the

28、 exciting force. So far, however, the calculated data has not been much identified with the actual measurement. Therefore, the accuracy of the actual measurement is improved. In the surface vibration of the engine, the l

29、ow-frequency vibration, which causes the idling vibration, and the high-frequency vibration, which causes noise, are mixed. When the mixed vibra</p><p>  In this paper, a strain gage acceleration pickup, whi

30、ch measures force acting on the inner weight by strain, is used. This device, which is larger than a piezo element acceleration pickup, is more sensitive to the acceleration. Besides, silicon oil is filled inside to prot

31、ect the detecting parts in this device, which mechanically blocks off the high-frequency order. The measured acceleration to time waveform for the vertical vibration with the device is shown in Figure 5. Compared with Fi

32、gure 4,</p><p>  pickup has been in doubt. However, the data of the experiment and the calculation has been identified as shown in Figure 2 and 3 since a strain gage acceleration pickup, which has been used

33、in the experiment of movement performance, was used for an engine.</p><p>  Fig. 1 Seat rail vertical vibration Fig. 2 Head cover lateral vibration</p><p>  Fig. 3 Right engine foo

34、t vertical vibration Fig.4 Measurement with piezo element acceleration pickup</p><p>  ENTIRE VEHICLE MODEL</p><p>  Figure 6 shows the body model. Interior and exterior equipments such as do

35、ors and seat are added in the form of 85 mass points to the main structure modeling detailed with sheet metal finite elements. The grid points are 61,912. Figure 7 shows the model where a frame, a suspension, and an engi

36、ne are combined, and a fuel tank and a bumper is added in the form of concentrated mass. The grid points are 39,262.</p><p>  Combining the models shown in Figure 6 and 7 using cabmount makes the entire vehi

37、cle model. Total grid points mounts to 101,174. The calculation time is 3,293 seconds using IBMSP2, MSC/NASTRAN Version 70.5.2. The calculating method is package calculation. If the model becomes on larger scale, the mod

38、el must be calculated by the block structure.</p><p>  Figure 8 shows the frequency response function, indicating the responses of the frame with the right back engine mount after exciting the driver’s seat

39、rail. In the frequency ranging from 20 to 30 Hz, which is required for the analysis, the data of the experiment is qualitatively identified with that of the calculation.</p><p>  Fig. 5 Measurement with str

40、ain gage acceleration pickup Fig. 6 Body mode</p><p>  Fig.7 Frame,power plant and suspension model Fig.8 Frequency response function</p><p>  CORRELATION ANALYSIS OF THE MODES</p

41、><p>  From the viewpoint of vibration characteristics, it can be considered that an entire vehicle is insulated by the engine mount and the cabmount, which have relatively small spring constants, although the

42、insulation is not complete. When the entire vehicle is divided into block structures by each insulating mount and suspension, the body has 4 block structures:</p><p>  (1) Block where interior equipment is a

43、dded in the form of concentrated mass to the body as shown in Figure 6, which is described as “body”, hereafter.</p><p>  (2) Block where the fuel tank and the bumper are added in the from of concentrated ma

44、ss to the frame as shown in Figure 7, which is described as “frame,” hereafter. </p><p>  (3) Power plant </p><p>  (4) Suspension</p><p>  Among the above block structures, (1) bod

45、y and (2) frame have the natural frequency around 24 Hz in the idling vibration. The vibration characteristics for the body, the frame and the entire vehicle model are compared and investigated.</p><p>  CO

46、MPARISON OF NATURAL FREQUENCY</p><p>  Figure 9 shows the distribution of the natural vibration frequency in each block structure and in the vehicle condition. The frame has 17 natural modes below 50Hz. In

47、Figure 7, the model mounting a power plant and a suspension on the frame, is called Y chassis, which has 35 natural modes below 50 Hz. Y chassis makes the entire vehicle model by mounting the body, which has 94 natural m

48、odes below 50 Hz.</p><p>  When the number of natural modes of Y chassis is added to 61 natural modes of the body, total number of the modes amounts to 96. The number of the natural modes of the entire vehic

49、le model (94) is less than the above total number by 2 modes. This is because 2 natural modes became above 50 Hz by combining Y chassis and the body, as the result of analyzing the mode correlation described later.</

50、p><p>  Fig. 9 Natural modes in frequency domain</p><p><b>  附錄B</b></p><p>  具有車架結構車輛的怠速震動分析</p><p><b>  摘要</b></p><p>  建立全車架結構SUV的

51、有限元模型,用來評價車輛的怠速震動特性。用Souma理論確定發(fā)動機的動力來模擬怠速震動。發(fā)動機和整車的模型通過實驗和計算結果協(xié)調以后共同決定。注意力放在了車架一階縱向彎曲模型的頻率上。降低一階車架彎曲模型的頻率可以減少車輛的怠速震動已經變得明確。</p><p><b>  簡介</b></p><p>  具有燃油經濟性的柴油車的一個缺點就是車身的怠速震動。在柴油發(fā)

52、動機里,由熱能積聚引起的壓力急劇上升會影響活塞。在把直線運動轉換成旋轉運動的曲軸系統(tǒng)里,有兩種反作用力使得發(fā)動機體振動:由移動部件運動換向引起的反作用力,和有限的氣缸不均勻的轉動引起的。這個力傳遞到發(fā)動機機體,發(fā)動機底部,橡膠的發(fā)動機支座,車架,橡膠駕駛室支架,最后到車身,引起乘客不舒服。</p><p>  大型商用車的怠速震動的平復處于發(fā)展的初期,用Souma理論模擬發(fā)動機震動,然后建立模型。</p&g

53、t;<p>  這篇論文中,將發(fā)動機置于車中來確定怠速震動,因為車架和車身的有限元被當做一個小型休閑車。另外,在這篇文章中,也分析了車輛車架自然模式如何改變,并且指出車架一階縱向彎曲的自然頻率具有重要的影響。</p><p><b>  車身震動的分析</b></p><p>  圖A1顯示了四缸柴油機RV怠速過程中座椅扶手處采集的加速過程中縱向震動頻率

54、的分析。怠速震動的主要部分是二階發(fā)動機轉動,第0.5,第1,和第1.5階同樣重要。但是,這些不同是由于不同氣缸的燃燒不同而引起的。完善噴射系統(tǒng)可以解決燃燒的差異。在這個實驗中,只集中研究怠速轉速是720rmp時24Hz車架的二階震動。此外,也研究了降低振動的措施,因為座椅的縱向振動對人類的感覺有很大的破壞性影響。</p><p>  發(fā)動機引起作用力的判定</p><p>  發(fā)動機將振動

55、傳遞給車身的路線有三種:通過發(fā)動機支座,驅動系統(tǒng),和尾氣排放管。在這篇論文中,研究了起主要作用的發(fā)動機支座的路線。研究方法有很多種,這里用Souma理論。</p><p>  Souma理論的概要</p><p>  考慮引起發(fā)動機集體受力的有爭議的怠速振動頻率范圍。首先,作用在活塞上的燃燒壓力被認為引起這個振動。但是,假設活塞曲軸并不隨飛輪移動并且機體以某種方式固定,在這個頻率范圍發(fā)動機

56、的零件被認為是完全剛性的。在這種情況下,如果活塞曲軸不移動,發(fā)動機機體就不會振動,盡管柴油燃燒引起壓力的迅速上升。</p><p>  相應地,引起發(fā)動機機體振動的直接原因不是燃燒壓力,而是活塞曲軸運動的反作用力。為了確定作用在發(fā)動機機體上的這個力,需要計算在機體內外都發(fā)揮作用的反作用力。</p><p>  在Souma理論里,通過測量在飛輪齒圈上收集到的脈沖來發(fā)現(xiàn)曲軸系統(tǒng)的不協(xié)調旋轉運

57、動。然后計算相連的活塞系統(tǒng)的縱向運動來確定發(fā)動機機體上的作用力。</p><p><b>  作用力準確性的驗證</b></p><p>  在整車模型里(后續(xù)描述),振動力的增加和曲軸是對應的。評估振動主要影響的引擎蓋和發(fā)動機右側底部。計算數據和實驗結果的比較結論在圖A2和圖A3中表示了出來。在圖A2和圖A3中,表示出來5種不同的計算結果,因為要考慮怠速轉速的變化。

58、</p><p>  在圖A2和圖A3中,鑒定了在轉速為720rpm時第二第四和第六階的24Hz,48Hz和72Hz的計算數據和實驗結果。發(fā)動機左側底部的數據,在這篇論文中沒有顯示出來,但是也幾乎全部鑒定了出來。至于在這個頻率范圍內,發(fā)動機和車身的振動被發(fā)動機支座隔離開來。車身幾乎影響不到發(fā)動機的振動。因為實驗數據和計算結果的鑒定是在這一范圍內,動力模型和振動力可以認為是合理的。</p><p

59、>  但是在一階12Hz周圍,數據并沒有鑒定出來。在這一頻率范圍內,發(fā)動機和車身的振動被發(fā)動機支座耦合到了一起,因此,車身模型的準確定受到影響。</p><p>  低頻振動測量方式的改善</p><p>  發(fā)動機振動力通過Souma理論來確定,通過增加振動力,發(fā)動機每個部分的震動都被計算出來。至此,然而,計算數據并沒有和實際測量完全區(qū)分開來。因此,實際測量的準確性得到提高。引起怠

60、速振動的低頻振動和引起噪聲的高頻振動在發(fā)動機表面混合到一起。當通過壓力測量這個混合振動,高頻率的振動被加重,而作為研究目標的低頻率表振動則變得相對小了。舉個例子,測量發(fā)動機右側底部的縱向振動加速-時間波形如圖A4所示。</p><p>  在這篇論文中,運用了測量壓力作用在內部的重量的加速壓力計。這個裝置比壓力元素加速機更大,對加速也更敏感。除此之外,內部為了保護探測部分而填充的硅油阻止了高頻振動。這個裝置測得的

61、加速-時間縱向振動波形如圖A5所示。和圖A4相比,圖A5僅僅顯示出了低頻率,雖然測量的是相同的區(qū)域。通過這種方式,高頻率振動被阻截掉,因此明暗度更高。這一次,使用了加速度測量范圍0到20m/s2的裝置。因為靈敏度高,這個裝置很容易校準,通過重力加速度。使用壓力加速度檢測計的時候,主階振動計算數據和實驗結果的差異是20-40%。因此,采用這一方式的Souma理論處于質疑中。然而,圖A2和A3是采用流量計加速度檢測計鑒定出來的計算結果。&l

62、t;/p><p>  圖B1 座椅扶手縱向振動 圖B2 缸蓋橫向振動</p><p>  圖B3 右側發(fā)動機底部縱向振動 圖B4 壓力加速度計測量結果</p><p><b>  整車模型</b></p><p>  圖A6是整車模型。像車門和座椅等內部和外部裝置以85

63、點增加到詳細有限元結構模型中。網格數是61,912。圖A7是一個有懸架,發(fā)動機,燃料箱和保險杠的車架組合成一個整體,網格數是39,262。</p><p>  把圖A6和圖A7組個到一起形成了一個整車模型,總的網格數是101,174。使用70.5.2版本的IBMSP2, MSC/NASTRAN計算時間是3,293。計算方法是打包計算。如果模型是更大規(guī)模,則必須通過整體結構計算。</p><p&

64、gt;  圖A8是頻率響應函數,指示出振動力作用在發(fā)動機支座時車架的響應。在需要分析的20到30Hz頻率范圍里,實驗數據相對于計算結果更好。</p><p>  圖B5 流量計加速度檢測機的測量結果 圖B6 車身</p><p>  圖B7 車架,發(fā)動機和懸架模型 圖B8 頻率響應函數</p>

65、<p>  圖B9 自然模式的頻率范圍</p><p><b>  模型相關性分析</b></p><p>  從振動特性的角度來看,可以認為整車振動被發(fā)動機支座和駕駛室支座隔離開來,因為有彈簧連接,雖然隔離并不徹底。如果整車被連接件和懸掛分開,車身有4大結構:</p><p>  (1)機體 增加了內部零件,如圖A6所示,此后描述成

66、機體。</p><p>  (2)車架 車架上增加了燃料箱和保險杠,如圖A7所示,此后描述成車架</p><p><b>  (3)動力系統(tǒng)</b></p><p><b>  (4)懸架</b></p><p>  在以上的結構中,(1)機體和(2)車架怠速振動的自然頻率在24Hz附近。機體,車架

67、和整車模型的振動特性被比較和研究。</p><p><b>  自然頻率的比較</b></p><p>  圖A9顯示的是每個結構和車輛不同狀態(tài)下自然振動頻率的分布情況。車架有17個自然模式低于50Hz。在圖7中,裝有發(fā)動機和懸架的車架,Y型底盤,有35個自然模式低于50Hz。Y型底盤加裝一個車身就形成了整車模型,具有94個自然模式低于50Hz。</p>

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