Identyfikatory
Warianty tytułu
Języki publikacji
Abstrakty
In the paper, the influence of support compliances on the stability and the limiting slenderness ratio of compression helical springs was investigated. To analyze the stability of helical springs, the concept of an equivalent column was applied and a general system of supports described by three independent compliances was utilized. In the general case, the solution obtained, which describes the critical force, depends on two rotational compliances and a lateral compliance of a transverse shift of the support. The influence of the individual compliances on the critical load and on the limiting slenderness ratio was studied. Simple approximation formulas were proposed to describe these relationships.
Słowa kluczowe
Czasopismo
Rocznik
Tom
Strony
81--92
Opis fizyczny
Bibliogr. 35 poz., rys.
Twórcy
autor
- Cracow University of Technology, Institute of Applied Mechanics, Kraków, Poland
autor
- Cracow University of Technology, Institute of Applied Mechanics, Kraków, Poland
Bibliografia
- 1. Berdychevsky V.L., Sutyrin V.E., 1983, A problem of an equivalent rod in nonlinear theory of springs (in Russian), Prikladnaia Mathematica i Mekhanica, 47, 2, 238-248
- 2. Biezeno C.B., Koch J.J., 1925, Knickung von Schraubenfedern, Zeitschrift f¨ur Angewandte Mathematik und Mechanik, 5, 279-280
- 3. Branowski B., 1989, Metalowe elementy sprężyste, PWN, Warszawa
- 4. Chernyshev N.A., 1946, Stability of compression helical springs (in Russian), [In:] Novye Metody Rascheta Pruzhin, C.D.Ponomariev (Edit.), Moscow: Gosud. Nauk.-Tech. Lzd. Mashinnostr. Liter., 57-78
- 5. Chernyshev N.A., 1958, Nonlinear theory of deformation of helical springs (in Russian), [In:] Problems of Strength of Materials, Moscow: Mashgiz., 3, 19-39
- 6. Czerwiński P., 1973, Stan odkształcenia śrubowej sprężyny paraboidalnej, Archiwum Budowy Maszyn, 22, 2, 275-291
- 7. Czerwiński P., 1975, Przyczynek do wyznaczenia stanu odkształcenia sprężyn o dowolnej geometrii, Rozprawy Inżynierskie, 23, 1,143-155
- 8. Grammel R., 1924, Die Knickung von Schraubenfedern, Zeitschrift f¨ur Angewandte Mathematik und Mechanik, 4, 384-389
- 9. Haringx J.A., 1942, On the buckling and the lateral rigidity of helical springs, Proceedings of the Koninklijke Nederlandse Akademie van Wetenschappen, 45, 533-539, 650-654
- 10. Haringx J.A., 1948, On highly compressible helical springs and rubber rods, and their application for vibration-free mountings I, R94, Philips Research Report, 3, 401-449
- 11. Haringx J.A., 1949, On highly compressible helical springs and rubber rods, and their application for vibration-free mountings II, R101, Philips Research Report, 4, 49-90
- 12. Hurlbrink E., 1910, Berechnung zylindrischer Druckfedern auf Sicherheit gegen seitliches Ausknicken, Zeitschrift f¨ur Angewandte Mathematik und Mechanik, 54, 133-137, 181-184
- 13. Kernchen E., 1979, Zur Stabilit¨at von Schraubenfedern, Ingenieur-Archiv, 48, 382-392
- 14. Krużelecki J., 1992, Problematyka optymalnego kształtowania ściskanych sprężyn śrubowych przy warunkach stateczności, Monografia 143, Wydawnictwo Politechniki Krakowskiej, Krakow
- 15. Krużelecki J., Życzkowski M., 1990, On the concept of an equivalent column in the problem of stability of compressed helical springs, Ingenieur-Archiv, 60, 367-377
- 16. Lin Y., Pisano A.P., 1988, The differential geometry of the general helix as applied to mechanical springs, Journal of Applied Mechanics, 55, 12, 831-836
- 17. Michalczyk K., J. Slawiński J., 2011, Wpływ sposobu mocowania sprężyn śrubowych na ich wybrane własności eksploatacyjne, Wydawnictwo AGH, Krakow
- 18. Mizuno M., 1960, Problem of large deflection of coiled springs, Bulletin of JSME, 3, 9, 95-103
- 19. Mottershead J.E., 1982, The large displacements and dynamic stability of springs using helical finite elements, International Journal of Mechanical Sciences, 24, 547-558
- 20. Nikolai E.L., 1955, On problems of spatially curved elastic bar (in Russian), [In:] Trudy po mekhanike, E.L. Nikolai (Edit.), Moscow: Gosud. Izd. Tech.-Teoret. Liter., 45-277
- 21. Olenov E.L., 1977, Approximative method of calculation of critical load for multiwire heli cal springs under compression (in Russian), Izv. Vysh. Ucheb. Zav., Mashinostroenie, 9, 9-14
- 22. Polishchuk D.F., 1977, Elastic stability of helical springs, Dinamika, Prochnost i Dolgovechnost Detaley Mashin, 2, 38-47
- 23. Ponomariev S.D., 1948, Stability of helical springs under compression and torsion (in Russian), [In:] Mashinostroenie, E.A. Chudakov (Edit.), Moscow: Mashgiz, 638-685
- 24. Ponomariev S.D. (Edit), 1958, Wspołczesne metody obliczeń wytrzymałościowych w budowie maszyn, Cz.2, PWN, Warszawa, 58-79, 83-201
- 25. Satoh T., Kunoh T., Mizuno M., 1988, Buckling of coiled springs by combined torsion and axial compression, JSME International Journal. Ser. 1, Solid Mechanics, Strength of Materials, 31, 56-62
- 26. Sutyrin V.G., 1980, On equations of theory of springs (in Russian), Doklady Akademii Nauk SSSR, 155, 1, 60-64
- 27. Szafran-Gądek H., 1981, Metoda obliczania sprężyn śrubowych walca eliptycznego, Prace Komisji Mechaniki Stosowanej PAN-Krakow, Mechanika, 11, 63-81
- 28. Tabarrok B., Xiong Y., 1989, On the buckling equation for spatial rods, International Journal of Mechanical Sciences, 31, 3, 179-192
- 29. Timoshenko S.P., Gere J.M., 1961, Theory of Elastic Stability, 2nd ed. New York, Toronto, London: McGraw Hill
- 30. Trostel R., 1957, Beitrag zur Berechnung r¨aumlich gekr¨ummter St¨abe nach der Theorie erster Ordnung, Ingenieur-Archiv, 25, 414-423
- 31. Wahl A., 1963, Mechanical Springs, New York, Toronto, London: McGraw Hill
- 32. Ziegler H., 1982, Arguments for and against Engesser’s formulas, Ingenieur-Archiv, 52, 105-113
- 33. Ziegler H., Huber A., 1950, Zur Knickung der gedruckten und tordierten Schraubenfeder, Zeitschrift f¨ur angewandte Mathematik und Physik, 1, 183-195
- 34. Żukowski S., 1954, Sprężyny, PWT, Warszawa
- 35. Życzkowski M., 1988, Stateczność prętow i ustrojow prętowych, Mechanika Techniczna, T.IX, Wytrzymałość elementow konstrukcyjnych, PWN, Warszawa
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-d896ba4d-5789-4b78-8c89-447eefd8445b