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Cavit Geometr of the Squeezed Branh Pie Shi Dequan a Xiao Jian b * Yang Chun a, Liu Baoin a a Ke Laborator on Deep Geoogia Driing Tehnoog, Ministr of Land and Resoures, Beijing, 0008,China b MCC

, Beijing 0008, China Sino-mine Resoure Eporation Co. Ltd.

1 Avaiabe onine at SieneDiret Proedia Engineering 7 04 ) 9 4 Geoogia Engineering Driing Tehnoog Conferene IGEDTC), New Internationa Convention Eposition Center Chengdu Centur Cit on rd-5th Ma 04 Researh on the Pate Cavit Geometr of the Squeezed Branh Pie Shi Dequan a Xiao Jian b * Yang Chun a, Liu Baoin a a Ke Laborator on Deep Geoogia Driing Tehnoog, Ministr of Land and Resoures, Beijing, 0008,China b MCC Communiation Engineering Tehnoog Co., Ltd., Beijing 0008, China Sino-mine Resoure Eporation Co. Ltd., Beijing 00089, China Abstrat This paper dedued the avit geometr of the pate under the ation of one-wa and two-wa squeeze equipment whih is hperboi for two-wa squeezed, hperboi and ar for one-wa squeezed. This paper points out the different stress harateristis and appiabe onditions of bearing pate for the two kinds of squeezed branh pie, and provides referenes for the deveopment of the squeezed branh pie. 04 The Pubished Authors. b Pubished Esevier Ltd. b Esevier Open aess Ltd. under CC BY-NC-ND iense. Seetion and peer-review under responsibiit of of Geoogia Engineering Driing Tehnoog. Kewords: Squeezed Branh Pie; Pate Cavit Curve; Hperboi Curve. Introdution Sine 99, the squeezed branh pie has been appied in the domesti ivi engineering, muniipa, shipping, aviation and highwa, whih bring the enormous soia benefit and eonomi benefit. The invention of this pie is a great improvement and innovation for the traditiona uniform setion, renovates the pie struture, and makes fundamenta hanges on stress behavior and oad transfer mehanism []. The squeezed branh pie is omposed of the main pie, bearing pate, severa numbers of branhes and is surrounded b dense etrusion soi. The squeezed branh pie transfer the on one end bearing point of the end bearing frition pie into the pie bod provided with a purait of end bearing point of frition and end bearing pies, so that the utimate bearing apait of singe pie is great inreased. The geometr of the bearing disk is formed * Corresponding author. Te.: E-mai address: j4975@6.om Pubished b Esevier Ltd. Open aess under CC BY-NC-ND iense. Seetion and peer-review under responsibiit of Geoogia Engineering Driing Tehnoog doi: 0.06/j.proeng

2 0 Shi Dequan et a. / Proedia Engineering 7 04 ) 9 4 b the squeezed mahine for mutipe etrusions. The phsia and mehania properties of the undisturbed soi under the etrusion fore is hanged [].. Anasis on Dis Cavit Curve For forming a bearing disk, variet of squeezed branh disk mahine, whih it s working prinipe are basia the same, an be used. The squeezed form is divided into two kinds, one kind is unidiretiona squeezed, another is bidiretiona squeezed. a) unidiretiona squeezed b) bidiretiona squeezed Fig. The shemati diagram of the squeezed mahine When using bidiretiona squeezed mahine, hdraui equipment push the bow pressing arm from two diretions. The fore of the upper arm and the ower arm is smmetri, whih are smmetria outward epansion, and to move equipment enter. In this proess, the soi is squeezed b the bow pressing arm. The soi produes a ertain pasti deformation. When using the one-wa squeezed mahine, ower furum remained stabe under bow pressing arm, hdraui inder appied thrust from the upper bow pressing arm, push and squeezed the soi. At this time, ompared with the upper soi, the sois under the bow arm deserve the bigger pressure and the better ompating effet. The ength of bow pressing arm is unhanged in the squeezing proess, whie on the ange of the arm is hanged. Two kinds of outine of dis avit after squeezed an be showed b drawing, as shown in Fig.. a) bidiretiona squeezed b) unidiretiona squeezed Fig. dis avit outine

3 Shi Dequan et a. / Proedia Engineering 7 04 ) 9 4. Dis Cavit Curve Derivation When bidiretiona epanded, upper and ower arm are smmetri. Beause of the movement of the upper arm, the profie of dis avit an be drawn. θ θ θ =, ) 4 4 =-+ / Fig. genera gesture of bow pressing arm Fig.4 espeia gesture of bow pressing arm As shown in figure, the ength of the bow pressing arm is. At the moment t, t, t, the gesture ine of the arm L. The intersetion of L and L are, ). The intersetion of L and L are, ) L L are ange between arms and the vertia ais are. The sope of the three ine k, k, k are ot,. The ot, ot. When, ) Let k,and 0 is the tangent of the outer ontour ine. im figure, k k, and k, ), ), then. The ine between, ) and, whih is the tangent sope of outer ontour ine at point, ). As shown in ot, then : d ) d Soute the differentia equation above, the genera soution of ontour equation: ) As shown in figure 4, beause of the smmetr, ontour and the ine / tangent to the point

4 Shi Dequan et a. / Proedia Engineering 7 04 ) 9 4 4, ) 4, tangent sope k, then: k ' ) / 4 4) 8 Therefore, epanded b the two-wa squeezed mahine, the dis avit ontour urve is hperboa, urve equation as foows: 5) 8 When unidiretiona squeezed, the ower arm under onstraint of the ower furum. The ower arm is in iruar motion when the ower furum is fied as enter of the ire. This trajetor is reative simpe. The two endpoint of the upper arm are in the hanging, the trajetor of the ontour urve needs to be auated. θ θ θ, ) + + θ A) B) Fig. 5 bow pressing arm gesture of one-wa squeezed mahine Fig. 6 one-wa squeezed mahine dis avit ontour As shown in figure 5, the ength of the upper arm is, the ength of the ower arm is.at the moment t, t, t, L L the gesture ine of the arm are L. The intersetion of L and L are, ). The intersetion of L and L are, ). The ange between arms and the vertia ais are. So the sope of the three ine k, k, k are ot, ot, ot. When, and 0, then, ), ). So the ine between, ) and

5 Shi Dequan et a. / Proedia Engineering 7 04 ) 9 4, ) is the tangent of the outer ontour ine. Let k im figure, k k, and k, whih is the tangent sope of outer ontour ine at point, ). As shown in ot, then : d 6) d Soute the differentia equation above, the genera soution of ontour equation: 7) As shown in figure 6, with the ange between the upper arm and the vertia ais beomes arger and arger, the ange between ower arm and the vertia ais beomes arger, unti the upper and ower arms is orthogona when the are in the ritia state. At the moment, is the ritia ange up ' artan. With up beomes arger, the upper arm and the soi out of ontat, on the ower arm squeeze soi. The ower arm ontinues to squeeze the soi to be a setor whose side profie is ar. When in a ritia state, ativities endpoint of the ower arm is the ritia point whose oordinate is:,, 8) This point is the intersetion of side profie whih squeezed b ine and. Beause, then: 9) When the upper and the ower arm engths are equa, that is, then : 0) Therefore, epanded b the one-wa squeezed mahine, the dis avit ontour urve is ombination of hperboi ine and ar: when ' artan )

6 4 Shi Dequan et a. / Proedia Engineering 7 04 ) 9 4 when ' artan ) 4. Anasis on Appiabiit Squeezed b two-wa squeeze mahine, the side profie of soi under the pate and soi above pate is hperboa. The soi far whih is awa from the hoe wa soi is under the higher eve of ompression whih an obtain better bearing apait. But the soi whih is ose to borehoe wa is under the ower eve of ompression. B Contrast, its fore performane is not good. Squeezed b one-wa squeeze mahine, the situation of the soi is: the dis avit ontour urve is ombination of hperboi ine and ar. The ength of the ar is reative of the ritia ange and fina squeezed ange. Dis bottom is straight. The eve of ompression of dis bottom is higher than dis upper. It meets the requirement of that dis bottom soi bearing most of the fore. So when the are same of arm ength, soi an be more ose-grained whih is squeezed b one-wa squeeze mahine. So the bearing apait of soi under the pate inrease more than two-wa squeeze mahine. Overa, the pie whih its pate is squeezed b one-wa mahine is more suitabe for ompressive pie beause of higher eve of the ompressive degree of soi under the pate. When squeezed b the two-wa squeeze mahine, the eve of ompression of the soi under the pate and above the pate is equa. Compare with squeezed b one-wa squeeze mahine, the ompressive degree of soi above the pate squeezed b two-wa squeezed mahine obtain higher bearing apait, so it is more suitabe for upift pie. 5. Conusion ) The dis avit urve is hperboa when squeezed b two-wa squeeze mahine, whih is different from the ombination of hperboi ine and ar when squeezed b one-wa squeeze mahine. ) The pie whih its pate is squeezed b one-wa mahine is more suitabe for ompressive pie, whie pie whih its pate is squeezed b two-wa mahine is more suitabe for upift pie. ) Through the anasis of different squeeze was of squeezed branh pie and their dis avit urve, enhane mutua understanding to the struture of this pie and its bearing feature, whih provide a referene for deveopment of the squeeze branh pie tehnoog. Referenes [] Wang Mengshu, He Dein, Tang Songtao. the New Pie Tehnoog of Centur-DX Rotar Driing Squeezed Branh Pie[J]. Engineering Siene.0,4):5-. [] Zhang Yanqing, Zhou Mingfang. Stud on the Moding Proess of the Hdraui Pressure Squeezed Branh Pie[J]. Journa of Beijing Universit of Tehnoog.00,7):54-56.

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