The application of topological models in the problem of the dynamic interaction of a rigid bodies system

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The differential equations of beam motion considering of moving, elastic and dissipative forces are presented on types of oscillations and integrate longitudinal, torsional, bending as well as shearing vibrations. The basic topologi-cal structure is figured in the form of the weighed and dual graphs for determination of force and kinematic parame-ters. The representing algebraic system is noted as tensor relations.

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1. "24C*C*;, . !. #*4'1*,(3, )34&1,'(J> )3(2-?3H,4&3> ?*),9,L A29*H(J> K9,?,('*; (2 *4-(*;, &*(,H(J> 2;'*?2'*; [/,&4'] / . !. "24C*-C*; // T=)8;(3+';* '2 ',>(*G,((2 A,BC,&2. UA. (2=&. C1.: P2+. 2&2). C131*)**>*1. '2 &=1*1'. A=)-;2. – 2007. – %3C. 21. – !. 27-34.

2. T*L+*;, R. %. !C12;*H(3& C* 4'1*3',9:(*L ?,->2(3&, &*12A9<. – /. 2. #924'3(J. /,*13< =C1=-G*4'3, C924'3H(*4'3 3 C*9B=H,4'3. S349,((J, ?,'*)J [/,&4'] / R. %. T*L+*;, $. 6. #293L, %. !. S=;3&*;4&3L. – V.: !=)*4'1*,(3,, 1982. – 366 4.

3. O1*( R. .449,)*;2(3, 49*D(J> 434',? C* H24-'<? ()32&*C'3&2) [/,&4'] / R. O1*(. – 6.: P2=&2, 1972. – 544 4.

4. #2(*;&*, Y. R. 04'*LH3;*4': 3 &*9,A2(3< =C1=-G3> 434',?: !*;1,?,((J, &*(+,C+33, *I3A&3 3 C212)*&4J [/,&4'] / Y. R. #2(*;&*, .. .. R=A2-(*;2. – 6.: P2=&2, 1979. – 384 4.

5. S3124, . . !'1*3',9:(2< ?,>2(3&2: /,*13< 3 29G*13'?J [/,&4'] / . . S3124. – 6.: !'1*L-3B)2', 1989. – 255 4.

6. "24C*C*;, . !. O*(,H(*-G127*;JL C*)>*) & 1,I,(3F B2)2H )3(2?3&3 4',1D(,;J> &*(4'-1=&+3L [/,&4'] // %i4(3& -(iC1*C,'1. (2+. =(-'= B298B(. '12(4C. i?. 2&2). %. V2B21<(2. – 2008. – %3C. 21. – !. 170-176.

7. !;2?3 6. R127J, 4,'3 3 29G*13'?J [/,&4'] / 6. !;2?3, O. />=924312?2(. – 6.: 631, 1984. – 455 4.

8. "24C*C*;, . !. O ;*C1*4= &*?C:F',1(*G* ?*-),931*;2(3< );3D,(3< C*,B)2 C* ?*4'= [/,&4'] / . !. "24C*C*;, !. #. "=4=, %. 5. 1',?*; // 6,'*)3 1*B;’<B=;2((< C13&92)(. B2)2H ?,>. ),7*1?i;(*G* ';,1. 'i92 : UA. (2=&. C1. / -(iC1. (2+. =(-'. – 2007. – %3C. 8. – !. 133-139.

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