Şasi burulma probleminde birim yük ve erz yaklaşım metodlarının uygulanması
Comperation of the unit load method and erz approximation method in the torsional problem of the chassis
- Tez No: 21859
- Danışmanlar: DOÇ. DR. MURAT EREKE
- Tez Türü: Yüksek Lisans
- Konular: Makine Mühendisliği, Mechanical Engineering
- Anahtar Kelimeler: Birim yük yöntemi, Burulma, Erz yaklaşım yöntemi, Taşıtlar, Şasi, Unit load method, Torsion, Erz approximation method, Vehicles, Chassis
- Yıl: 1992
- Dil: Türkçe
- Üniversite: İstanbul Teknik Üniversitesi
- Enstitü: Fen Bilimleri Enstitüsü
- Ana Bilim Dalı: Belirtilmemiş.
- Bilim Dalı: Belirtilmemiş.
- Sayfa Sayısı: Belirtilmemiş.
Özet
F. F. L. il t L "a -E L=ı A. E. Thus, u is explicitly determined since the values of the terms on the right side of the equation a.re known. For chassis frames bending and torsional moments make the main effect for deformation. In general, deformation can be determined as; dx f M. M, f T. T I - -L-İ- dx + -i- J E I J S I Elasticity equations below: d + X d +Xd + +Xd =0 io i li 2 12 n in d +Xd +Xd + + X d = 0 20 1 21 2 22 n 2n d +Xd +Xd +...+Xd =0 no 1 nl 2 n2 n nn According to the principle of virtual work, the torsional angle can be determined as; ZL. SL. T. V = - CM2 + M._M. _+ M2^ ) + l u 3M E I. İL VL lR tR M G I. D U J> tx. and the torsional stiffness as; S = MJ / y/ GL -XI-
Özet (Çeviri)
SUMMARY COMPERATION OF THE UNÎT LOAD METHOD AND ERZ APPROKIMATION METHOD İN THE TORSIONAL PROBLEM OF THE CHABSIS The symmetrical forces effect the truck frames to bend. If we consider the chassis frame as a simple string, the system will be statical certain and the solution will be quite easy. But i f the forces effect the chassis frame asymetricly, the torsional problem will come out. in that case the system is uncertain and the solition will be very complicated. The degree of uncertainty goes up, depending on the number of the travers. Unit-load method which is the öne of the solition method för statical uncertain system, gives the reliable results. Just öne disadvantage is that it consists of so many repeated operations. On the contrary Ers Torsional Approach Method is a method which can determine the bending and torsional moment in short way under some conditions and gives quite closed results. Vertical as well as horizontal and torsional static and dynamic loads açt on chassis frames and bodies. They have different reasons by the structural analysis it is very important to know how high the static loads and also the dynamic loads are. First of ali the dynamic loads are very important in fatigue. in dimensioning of chassis frames and bodies both câses have to be taken into account. UNIT-LOAD METHOD A tecnique which forms a counterpart ofthe principle in its application to theproblemof determining displacements in structures isknown asthe dummy-load method ör the unit-load method. The use of the method in obtaining the dispacement of a joint in a truss under the external forces is conveniently discussed with reference to the problem illustrated in Figüre i.a. Let the requirement be to determine the displacement u, of the joint D of the d -vnı-F. F. L. il t L“a -E L=ı A. E. Thus, u is explicitly determined since the values of the terms on the right side of the equation a.re known. For chassis frames bending and torsional moments make the main effect for deformation. In general, deformation can be determined as; dx f M. M, f T. T I - -L-İ- dx + -i- J E I J S I Elasticity equations below: d + X d +Xd + +Xd =0 io i li 2 12 n in d +Xd +Xd + + X d = 0 20 1 21 2 22 n 2n d +Xd +Xd +...+Xd =0 no 1 nl 2 n2 n nn According to the principle of virtual work, the torsional angle can be determined as; ZL. SL. T. V = - CM2 + M._M. _+ M2^ ) + l u 3M E I. İL VL lR tR M G I. D U J> tx. and the torsional stiffness as; S = MJ / y/ GL -XI-F. in the bars of this fictitious system are independent of the forces F. in the bars of the actual truss. Since the only requirement on the dummy- load system is that it be self- equlibrating, any one of an infinite number of these could have been chosen. However, the reason for selecting the particular system shown in Figure l.b is that only the horizontal unit- load at joint D does external work during the actual displacements of the truss in Figure i.a. For reasons which will be discussed letter in the present section, the dummy- load method is also known as the method of complementary virtual work. It should be noted that the internal force in a bar will always be opposite indirection to its elongation (positive or negative) regardless of whether the bar is in tension or compression. Therefore, during the elongations e. of the bars of the actual truss (Fig i.a), the total work W. of the internal forces F. in the bars V i V of the dummy system (Fig l.b) during the actual elongations e. is the sum: n W = - E F e V V = 1 İL V Where n = 5, and e. =F. L. /A. E. is determined V L t V V from the known actual forces F. in the bars of the given truss problem. In general, the bars can have different cross- sectional areas A. and elastic moduli E.. When attention is turned toward calculating the total external work W, it is seen that the constribution from the e ”load of the dummy system during the unknown actual displacement u, is 1 u - d d On the other hand, the three reactions at supports of the dummy system do no work since the corresponding actual displacements of the joints is W = u e d It follows from the principle of virtual work that n W + W. = u, -. E F. e. = O e v d v = i i v v Substitution for e. and transposition yield -X-F. F. L. il t L "a -E L=ı A. E. Thus, u is explicitly determined since the values of the terms on the right side of the equation a.re known. For chassis frames bending and torsional moments make the main effect for deformation. In general, deformation can be determined as; dx f M. M, f T. T I - -L-İ- dx + -i- J E I J S I Elasticity equations below: d + X d +Xd + +Xd =0 io i li 2 12 n in d +Xd +Xd + + X d = 0 20 1 21 2 22 n 2n d +Xd +Xd +...+Xd =0 no 1 nl 2 n2 n nn According to the principle of virtual work, the torsional angle can be determined as; ZL. SL. T. V = - CM2 + M._M. _+ M2^ ) + l u 3M E I. İL VL lR tR M G I. D U J> tx. and the torsional stiffness as; S = MJ / y/ GL -XI-
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