2 edition of **Nonconservative problems of the theory of elastic stability** found in the catalog.

Nonconservative problems of the theory of elastic stability

V. V Bolotin

- 258 Want to read
- 29 Currently reading

Published
**1963**
by Pergamon Press in Oxford, New York
.

Written in English

- Stability.,
- Elasticity.,
- Rotors.,
- Aeroelasticity.

**Edition Notes**

Bibliographical footnotes.

Statement | Translated from the Russianby T.K. Lusher. English translation edited by G. Herrmann. |

The Physical Object | |
---|---|

Pagination | xii, 324 p. : |

Number of Pages | 324 |

ID Numbers | |

Open Library | OL21346469M |

Bolotin, V. v., , “Nonconservative Problems of the Theory of Elastic Stability,” Journal of Sound and Vibration, Pergammon Press, New by: Dynamic analysis of stability. Parametric instabilities and stability under nonconservative forces. Divergence and flutter. List of recommended books. General theory and sources of exercise problems. S P Timoshenko and J M Gere, , Theory of elastic stability, McGraw Hill, London. A Chajes, , Principles of elastic stability, Prentice.

Nonconservative Stability Analysis of Columns with Various Loads and Boundary Conditions. Our results reveal that the fully intrinsic formulation is a suitable framework to model nonconservative problems. [1] Bolotin V. V., Nonconservative Problems of the Theory of Elastic Stability, Pergamon Press, London, , Chap. : S. Ahmad Fazelzadeh, Mohammad Tashakorian, Esmaeal Ghavanloo, Michael I. Friswell, Mohammadreza Amoo. Among the non-conservative problems of the theory of stability of elastic systems a considerable place is taken by problems on aero-elasticity and hydro-elasticity (cf.,,), as well as by problems on the stability under periodic loadings (cf.). The latter are closely connected with the theory of parametric resonance for continuous systems.

Since Bolotin's pioneering book on nonconservation problems on the theory of elastic stability, not many books appeared at such a high level, such as this one. It beautifully summarizes the results of the authors' investigations performed for decades. A leading authority's important new approach to fracture-related mechanics A significant contribution to our understanding of structural stability, Stability Problems in Fracture Mechanics bridges the gap between fracture mechanics and analytical (rational) mechanics, and provides a new perspective on classical problems of fracture by:

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Nonconservative Problems of the Theory of Elastic Stability Hardcover – January 1, by V.V. Bolotin (Author) out of 5 stars 1 rating. See all 2 formats and editions Hide other formats and editions.

Price New from Used from 5/5(1). Nonconservative Problems of the Theory of Elastic Stability Paperback – December 1, by V.V. Bolotin (Author), G. Herrmann (Translator) out of 5 stars 1 rating. See all 2 formats and editions Hide other formats and editions. Price New from 5/5(1).

Find helpful customer reviews and review ratings for Nonconservative problems of the theory of elastic stability at Read honest and unbiased product reviews from our users.5/5(1).

Additional Physical Format: Online version: Bolotin, V.V. (Vladimir Vasilʹevich). Nonconservative problems of the theory of elastic stability.

New York, Macmillan, In: Thermodynamic approach to solving of nonconservative problems of the elastic stability theory, Issledovanija po mechanike stroitelnich konstrukzij i materialov.

Collection of transactions Jan Download PDF Theory Of Elastic Stability book full free. Theory Of Elastic Stability available for download and read online in other formats.

Non-Classical Problems in the Theory of Elastic Stability. Isaac Elishakoff,Yiwei Li,James H. Starnes, Jr — Mathematics. Author. Stability of this state in the small is investigated under the assumption that if this state is disturbed and the system is set into motion, there appear some small forces of a type unknown in advance.

Stability of non-conservative elastic systems is usually analysed on the basis of dynamic approach only, that is, Cited by: 2. Chapter 1 describes the state of art of dynamic stability of elastic systems subjected to nonconservative follower forces. Experimental works are specially emphasized.

Chapter 2 is concerned with flutter of cantilevered pipes conveying by: 1. NONCONSERVATIVE STABILITY PROBLEMS OF MODERN PHYSICS This work gives a complete overview on the subject of nonconservative stability from the modern point of view. Relevant mathematical concepts are presented, as well as rigorous stability results and numerous classical and contemporary examples from mechanics and physics.

Get this from a library. Nonconservative problems of the theory of elastic stability. [V V Bolotin]. An elastic cantilevered beam subjected to a follower force, the so-called Beck’s column, is an ideal/classical structural model in the theory of nonconservative stability problems.

Many new problems were stated: stability of structures subjected to forces varying periodically in time (Belyaev [1]), stability of structures in the presence of follower forces (Nikolai [2]) etc. Survey of works dealing with the nonconservative problems of elastic stability is given in papers by Mettler [3], Evan-Iwanowski [4] and Herrmann [5 Cited by: 5.

Loss of stability occurs in many nonconservative problems of elastic stability theory (see [1,3], for instance) because the pair of complex-conjugate eigenvalues belonging to the stability spectrum of the linearized problem intersects the imaginary axis under changes in some parameters and goes over into the right half-plane of the complex : V.S.

Kolesov, Iu.S. Kolesov, A.N. Kulikov, I.I. Fedik. Consider the stability problem of an elastic nonlocal elastic column with a slight geometrical curvature as an imperfection.

However, given the fact that the ratio between the thickness and S. Bull, meet red flag: >Jacob Viner (), ["Mr. The so-called Zig-Zag theory is known in literature. Bolotin, V. V.: Nonconservative Problems of the Theory of Elastic Stability, Fizmatgiz, Moscow, English translation published by Pergamon Press, New York, Cited by: 2.

The critical loads for five non-conservative problems are defined under the context of gradient elasticity theory of a beam. The first problem deals with the stability of a gradient elastic beam. In such systems the applied forces are said to be nonconservative in the sense that they do not possess a potential and they are assumed to be linear functions of the generalized coordinates.

In addition, forces may be present in the system which are dependent on the generalized velocities and, therefore, Cited by: THE ALTEIINATTVE METHOD When the first variation 5g vanishes at the point (V,)3), a sufficient condition for a relative minimum at Application of the quadratic functional to nonconservative problems of elastic stability W.

ALTMAN and A. DE OLIVEIRA Table by: 3. “Column” in this book is used as an engineering term, and means a slender and straight structural member under compression. Non-classical problems in the theory of elastic stability.

Cambridge: Cambridge University Press. Nonconservative problems of the theory of elastic stability. New York: Pergamon Press. zbMATH Google Scholar. The methods of Galerkin and complementary energy in conjunction with an adjoint variational principle are applied to two non-conservative problems of elastic stability.

These problems consist of (i) a cantilever beam and (ii) a clamped-hinged beam subjected to a Cited by: 3. Bolotin VV () On variational principles of the theory of elastic stability (in Russian). In the book: Problems in mechanics of deformable solids.

Sudostroyeniye, Leningrad, pp Google Scholar.* Covers both static and dynamic loads, for both conservative and nonconservative systems * Emphasizes elastic behavior under loads, including vertical buckling, torsional buckling and nonlinear affects of structural system buckling and stability * Case examples to illustrate real-world applications of Stability Theory.Applications to specific problems of buckling of structures have preceded the complete development of the theory of elastic stability.

This situation is indeed quite common in engineering science.