Universal theory of structures, general properties and algorithms for the directed synthesis and analysis of statically determinate mechanical systems. Part 2. Directed structural synthesis and analysis

A universal theory of structures (see Part 1) is implemented. The algorithms and examples of directed structural synthesis and analysis are based on integer solutions for various plane and three-dimensional, homogeneous and heterogeneous self-adjusting mechanical systems of optimal structure (single- and multi-axis mechanisms, trusses, open kinematic chain manipulators). They contain the prescribed number of loops, the required set of multiple joints and the design range of multivertex links with restricted complexity. Typical design problems are considered for multilink hinged-lever mechanical systems without harmful redundant links: a locomotive traction drive providing synchronous rotation of all wheels, a multi-arm robot directional drive, statically determinate trusses of multi-span bridges, a work-center spatial link mechanism providing motion of its upper movable flat surface with a fixed tool relative to a fixed workpiece. An example of the directed design of a multi-satellite planetary gear with uniformly loaded satellite gears to be used in automatic transmissions of high-powered cars and tractors is considered.

References

[1] Pozhbelko V.I. Universal’naia teoriia struktury, obshchie svoistva i algoritmy napravlennogo sinteza i analiza staticheski opredelimykh mekhanicheskikh sistem (Chast’ 1. Optimal’naia struktura mekhanizmov i ferm) [Universal theory of the structure, general properties and algorithms directed synthesis and analysis of statically determinate mechanical systems (Part 1. Optimal structure and mechanisms of farms)]. Izvestiya Vysshikh Uchebnykh Zavedenii. Mashinostroenie [Proceedings of Higher Educational Institutions. Маchine Building]. 2014, no. 1, pp. 24—35.

[2] Pozhbelko V.I. Strukturnyi analiz i sintez ploskikh mekhanizmov zadannogo urovnia slozhnosti po universal’noi strukturnoi tablitse standartnykh kodov stroeniia [Structural analysis and synthesis planar mechanisms setting level of significance by universal enumeration standard designing codes]. Teoriia mekhanizmov i mashin [Theory of Mechanisms and Machines]. 2012, no. 1(19), vol. 10, pp. 24—45.

[3] Pozhbelko V.I. Algoritm bystrogo strukturnogo analiza i napravlennogo sinteza samoustanavlivaiushchikhsia mekhanizmov sovremennogo mashinos t roeni ia na osnove novoi formuly podvizhnosti [The algorithm of rapid structural analysis and directed synthesis of self-aligning mechanisms of modern engineering based on a new formula for mobility]. Sovremennoe mashinostroenie. Nauka i obrazovanie. Materialy 3-ei Mezhdunarodnoi nauchno-prakticheskoi konferentsii (20—21 iiunia 2013 g.) [Modern engineering. Science and education. Proceedings of the 3-rd International Scientific Conference (20–21 June 2013)]. St.Petersburg, St.Petersburg State Polytechnical University publ., 2013, pp. 20—34.

[4] Pozhbelko V.I. Vozniknovenie peremennoi (izmeniaemoi) struktury i oblasti osobykh polozhenii mekhanizma s uchetom zazorov i vyrozhdeniia kinematicheskikh par [Generation variable structure and district particular configurations of the mechanism with chinks and degeneration of the kinematic pairs]. Teoriia mekhanizmov i mashin [Theory of Mechanisms and Machines]. 2010, no. 2(16), vol. 8, pp. 71—80.

[5] KolovskiiM.Z., Evgrafov A.N., Semenov Iu.A., Sloushch A.V. Teoriia mekhanizmov i mashin [Theory of mechanisms and machines]. Moscow, Akademiia publ., 2006. 560 p.

[6] Danilin P.O., Tyves L.I., Glazunov V.A. Gruppovaia kinematicheskaia razviazka dvizhenii v mekhanizmakh parallel’noi strukturymanipuliatora [Group kinematic decoupling ofmovements in the mechanisms of the parallel structure of the manipulator]. Problemy mashinostroeniia i nadezhnosti mashin [Journal of MachineryManufacture and Reliability]. 2010, no. 3, pp. 27—35.

[7] Reshetov L.N. Samoustanavlivaiushchiesia mekhanizmy. Spravochnik. [Self-aligning mechanisms. Directory]. Moscow, Mashinostroenie publ., 1979. 334 p.

[8] Krainev A.F. Mekhanika mashin. Fundamental’nyi slovar’ [Mechanics of Machines. Fundamental dictionary]. Moscow, Mashinostroenie publ., 2000. 904 p.

[9] Vul’fson I.I., KolovskiiM.Z., Semenov Iu.V., Sloushch A.V. Mekhanika mashin [Mechanics of Machines]. Moscow, Vysshaia shkola publ., 1996. 511 p.

[10] Glinka N.L. Obshchaia khimiia. Struktura kristallov [General Chemistry. The structure of crystals]. Leningrad, Khimiia publ., 1986. 704 p.

[11] Galiullin I.A. O primenenii mekhanizma Brikarda i ego modifikatsii [On the application of the mechanism and its modifications Brikarda]. Problemy mekhaniki sovremennykh mashin. Materialy 5 Mezhdunarodnoi konferentsii (25—30 iiunia 2012 g.) [Problems of modern machines. 5 Materials International Conference (25–30 June 2012)]. Ulan-Ude, East Siberia State University of Technology andManagement publ., 2012, pp. 11—14.

[12] Pozhbelko V.I. Napravlennyi sintez optimal’nykh struktur ploskikh mekhanicheskikh sistem s sovmeshchennymi sharnirami (mekhanizmy, fermy, gruppy Assura, roboty). Chast’ 1 [Directed structural synthesis of optimal planar mechanical systems with complex pin-joints (mechanism, pin framework, Assur group, robot). Part 1]. Teoriia mekhanizmov i mashin [Theory of Mechanisms and Machines]. 2012, no. 2, vol. 10, pp. 77—98.