 | | Mechanics of Solids
A Journal of Russian Academy of Sciences | | Founded
in January 1966
Issued 6 times a year
Print ISSN 0025-6544
Online ISSN 1934-7936 |
Archive of Issues
| Total articles in the database: | | 12854 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8044
|
| In English (Mech. Solids): | | 4810 |
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| << Previous article | Volume 50, Issue 5 / 2015 | Next article >> |
| A.V. Manzhirov and D.A. Parshin, "Arch Structure Erection by an Additive Manufacturing Technology under the Action of the Gravity Force," Mech. Solids. 50 (5), 559-570 (2015) |
| Year |
2015 |
Volume |
50 |
Number |
5 |
Pages |
559-570 |
| DOI |
10.3103/S0025654415050076 |
| Title |
Arch Structure Erection by an Additive Manufacturing Technology under the Action of the Gravity Force |
| Author(s) |
A.V. Manzhirov (A. Ishlinsky Institute for Problems in Mechanics, Russian Academy of Sciences, pr. Vernadskogo 101, str. 1, Moscow, 119526 Russia; Bauman Moscow State Technical University, ul. 2-ya Baumanskaya 5, Moscow, 105005 Russia, manzh@inbox.ru)
D.A. Parshin (A. Ishlinsky Institute for Problems in Mechanics, Russian Academy of Sciences, pr. Vernadskogo 101, str. 1, Moscow, 119526 Russia; Bauman Moscow State Technical University, ul. 2-ya Baumanskaya 5, Moscow, 105005 Russia, parshin@ipmnet.ru) |
| Abstract |
The paper studies the influence of the gravity forces on gradually constructed objects in the field of gravity. The cases of viscoelastic aging and pure elastic materials are considered. A model of erection of a circular (semicircular) arch structure on a smooth rigid horizontal basement by the method of layered thickening of a previously mounted blank structure from inside is developed in the framework of the linear mechanics of accreted bodies. The model takes into account the influence of gravity forces on the erected structure during the entire process of its erection. In addition, the model allows creating prestresses in the accreted structure elements in the process of erection and admits arbitrary time-variable loads on the outer surface of the erected arch. The corresponding essentially two-dimensional problems of mechanics of quasistatic deformation of the considered structure before its accretion, at the stages of continuous accretion, in the pauses between these stages, and after the accretion are posed in the plane strain state approximation. The analytic solutions of these problems are constructed as series and by quadratures, which permits tracing the evolution of the structure stress-strain states at all stages listed above. These studies can be used to analyze objects produced by additive manufacturing technologies. |
| Keywords |
additive manufacturing technology, accretion, layered erection, thickening, reinforcement, arch, semicircular arch, gravity force, prestress, viscoelasticity, aging, elasticity, design calculation, technological stresses, analytic solution |
| References |
| 1. | A. V. Manzhirov and S. A. Lychev,
"Mathematical Modeling of Additive Manufacturing Technologies,"
in Lecture Notes in Engineering and Computer Science:
Proc. of the World Congress on Engineering 2014, July 2-4, 2014, London, UK, Vol. 2
(IAENG, London, 2014),
pp. 1404-1409. |
| 2. | A. V. Manzhirov,
"Mechanics of Growing Solids: Mew Track in Mechanical Engineering,"
in Proc. ASME 2014 International Mechanical Engineering Congress & Exposition,
IMECE2014, November 14-20, Mortreal, Canada
(IMECE2014-36712, compact disk). |
| 3. | A. V. Manzhirov and V. A. Chernysh,
"Problem of a Buried Arch Structure Reinforcement by the Accretion Method,"
Izv. Akad. Nauk. Mekh. Tverd. Tela,
No. 5, 25-37 (1992)
[Mech. Solids (Engl. Transl.)]. |
| 4. | N. Kh. Arutyunyan and V. B. Kolmanovskii,
Creep Theory of Inhomogeneous Solids
(Nauka, Moscow, 1983)
[in Russian]. |
| 5. | N. Kh. Arutyunyan and A. V. Manzhirov,
Contact Problems of the Theory of Creep
(Izd-vo Inst. Mekaniki NAN RA, Erevan, 1999)
[in Russian]. |
| 6. | A. V. Manzhirov,
"The General Non-Inertial Initial-Boundaryvalue Problem for a Viscoelastic Ageing Solid
with Piecewise-Continuous Accretion,"
Prikl. Mat. Mekh.
59 (5), 836-848 (1995)
[J. Appl. Math. Mech. (Engl. Transl.)
59 (5), 836-848 (1995)]. |
| 7. | A. D. Polyanin and A. V. Manzhirov,
Handbook of Integral Equations
(Fizmatlit, Moscow, 2003)
[in Russian]. |
|
| Received |
12 December 2014 |
| Link to Fulltext |
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