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Actual Problems in Machine Building. 2016. N 3

Technological Equipment, Machining

Attachments and Instruments

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204

3.

Ravindran A., Ragsdell K.M., Reklaitis G.V.

Engineering optimization: methods and applica-

tions. – 2

nd

ed. – New Jersey: John Wiley & Sons, 2006. – 688 p. – ISBN-10: 0–471 –55814–1. –

ISBN-13: 978–0–471–55814–9.

4.

Bunday B.D.

Basic optimisation methods. – London: Edward Arnold, 1984. – 136 p. – ISBN-

13: 978–0–713 –13506–0. – ISBN: 0–713 –13506–9.

5.

Rao S.S., Grandhi R.V.

Optimum design of radial drilling machine structure to satisfy static ri-

gidity and natural frequency requirements // Journal of Mechanical Design. – 1983. – Vol. 105, iss.

2. – P. 236–241. – doi: 10.1115/1.3258515.

6.

Yoshimura M., Takeuchi Y., Hitomi K.

Design optimization of machine-tool structures consid-

ering manufacturing cost, accuracy and productivity // Journal of Mechanical Design. – 1984. –

Vol. 106, iss. 4. – P. 531–537. – doi: 10.1115/1.3258606.

SOME QUESTIONS AT DESIGN OF MULTI-PURPOSE MACHINE TOOL

Atapin V.G.

,

D.Sc.

(Engineering), Professor, e-mail:

teormech@ngs.ru

Novosibirsk State Technical University, 20 Prospekt K. Marksa, Novosibirsk, 630073, Russian

Federation

Abstract

The main purpose at design of supporting constructions of heavy multi-purpose machine tool is

the reduction of mass at the given precision and productivity of working. To achieve this objective,

the technology of rational design of supporting constructions offered by us uses the decomposition

method and the finite elements method in the combination with optimization methods. The

technology has four stages: 1) calculation (computation) of external all forces and loads, 2) as a

result of the boundary conditions (force, kinematics) for individual supporting constructions are

formed, 3) the problem about final optimal distribution of a material by the individual supporting

constructions with the real cross-section is solved; 4) dynamic analysis. On an example at design of

the column it is shown, that the turn angle of an optimum column with actual cross-section section

is less, than the angle of turn of column of carrying system with the supporting constructions

simplified geometry – 0,0778 and 0,1495 radian, respectively, i.e. torsion rigidity of the optimum

column above.

Keywords

Heavy multi-purpose machine tool; Design; Decomposition method; Supporting constructions;

Finite elements method; Optimization methods