The Department of Strength of Materials as an independent department has existed since 1908. For 30 years it was headed by prof. V. N. Sokolovsky, whose activity at the institute continued for more than half a century. A course on the strength of materials, written by him in 1898, went through seven editions. V. N. Sokolovsky supplemented his pedagogical work with close contacts with production: he was a member of expert commissions and a consultant to many design organizations.

From 1938 to 1941 Department of Strength of Materials (simultaneously with the head of the Department theoretical mechanics) led by prof. N. P. Pavlyuk is the author of many original works on the stability and oscillations of engineering structures, the organizer of the laboratory of stability and oscillations. In 1941, N.P. Pavlyuk died in besieged Leningrad.

The current Department of Strength of Materials (with its own traditions) dates back to 1944, when it was headed by an outstanding scientist and teacher, Professor V. A. Gastev. He is one of the leading domestic specialists in reinforced concrete structures and bridges, also known as the author of a large number of theoretical works that have had a significant impact on the development of the theory of elasticity, the theory of stability and fracture mechanics.

V. A. Gastev was born on September 26 (October 8), 1891 in the town of Efremov, Tula Region, in the family of a priest. A great interest in the exact sciences, which manifested itself even during the years of study at the Tula gymnasium, led him to the Faculty of Physics and Mathematics of the University - first Moscow (I and II courses), in which N. E. Zhukovsky worked in those years, and then Petersburg, where then a whole galaxy of students of P. L. Chebyshev and A. M. Lyapunov was concentrated (A. A. Markov, V. A. Markov, V. A. Steklov, V. Ya. Uspensky, etc.).

After graduating from the university (1913), on the recommendation of V. A. Steklov, he was left at the faculty to prepare "for a professorship", that is, in the current way - to graduate school, but did not remain in graduate school, but, having earned some money by teaching V high school, entered the III year of the Petrograd Institute of Railway Engineers, which he graduated in 1919 and then taught from 1920 to 1938. (Assistant and Associate Professor of the Department of Mathematics, Professor of the Department of Bridges).

By the decision of the Higher Attestation Commission in 1934, he was awarded the title of professor, in 1939 - without defending a dissertation - academic degree doctor of technical sciences. In 1938-1941. Vladimir Alekseevich headed the Department of Strength of Materials of the Institute of Industrial Construction Engineers and the Higher Civil Engineering School created on the basis of this institute, in 1942 he worked for some time at the Military Transport Academy of the Red Army, where he completed important work on the strength of the ice cover, published in the Proceedings of the Academy (1944), but as early as 1942 used in the development of the manual "Ice Railway Crossings"). From 1942 to 1944 worked in the Dnepropetrovsk Institute of Engineers evacuated to Novosibirsk railway transport, and in 1944-1972. Head of the Department of Strength of Materials of the Leningrad Civil Engineering Institute.

The combination of deep mathematical training and solid engineering education has always been reflected in the works of Vladimir Alekseevich. So, already in his very first published articles “The German experience of systematizing materials on the stability of elastic systems” (1921) and “On the effect of seams on the resistance of masonry to compression” (1924), attention is drawn to the strict logic, depth and clarity of the analysis of the issues raised. . In particular, in the first of these works, which contains a brief critical analysis of R. Mayer's book on the stability of elastic systems, published in 1921 in Berlin, the fundamental role of A. M. Lyapunov's research in this area, the need for the correct formulation of experiments on the stability of equilibrium elastic rods and the related groundlessness of criticism of the Euler formula in a number of published and then fashionable works.

In 1923, the first edition of Vladimir Alekseevich's book "Methods and data for the calculation of reinforced concrete structures" was published (Petrograd, "Way"). The description and analysis of the process of destruction of reinforced concrete beams under load in this book is such that, without paying attention to the imprint of the book, it is difficult to believe that it was written in 1921-1922, and not two decades later. The book went through three editions, each of which fully took into account the latest advances in the study of the properties of concrete and the development of methods for calculating reinforced concrete structures (the third edition was published in 1932 under the title "Reinforced Concrete Structures" in Gosstroyizdat).

In the same years, a textbook on crossings and restoration of bridges was written (“Restoration of Bridges”. M., L.: Gostransizdat, 1932), which was one of the main textbooks on these issues in the prewar and war years.

These and a number of other works made Vladimir Alekseevich one of the most prominent domestic specialists in reinforced concrete structures and bridges. He participated in the design of almost twenty large bridges, including such as the bridge to them. Volodarsky across the Neva, railway bridges across the Amur at Komsomolsk and across the Volga at Rybinsk.

In the 1920s and 1930s, Vladimir Alekseevich also published a number of purely theoretical studies. In particular, during these years, articles were written "On the issue of calculating the stability of compressed chords of open bridges" (Tr. LIIZhT, 1929, issue 99), which develops an elegant method for approximating the problem of equilibrium stability of a compressed rod of variable cross section with a stepwise changing stiffness, “Calculation of thin plates on an elastic foundation loaded on rectangular areas” (Tr. LIIPS, 1934, 1), where the Ritz method is used in conjunction with a fine method for improving the convergence of trigonometric series, and “On stresses in an elastic medium bounded by a plane, under loading by an infinitely rigid wall” (Tr. LIIZhT, 1937, issue 127), in which, using the theory of potential, the solution of the problem of the action of an eccentrically loaded rigid punch on an elastic half-plane is given for the first time. Peru Vladimir Alekseevich also owns one of the first publications on the dynamic stability of elastic systems (Tr. LIAP, 1948, vol. I).

Special mention deserves the work "On the question of the general solution of the three-dimensional problem of the theory of elasticity" (Proceedings of the Higher Naval Engineering and Construction School, 1940, issue 2), in which the possibility of an extremely elegant and simple derivation of the general Papkovich-Neiber solution was shown for the first time (these authors themselves obtained their relations with the help of rather cumbersome constructions). Later the same and similar construction methods common solutions three-dimensional problem of the classical theory of elasticity was used by A. I. Lurie.

IN post-war years, continuing to actively deal with the issues of calculation and design of reinforced concrete structures and bridges (in particular, then he published a large article on the calculation of suspension bridges, was one of the pioneers in the introduction of reinforced cement into the practice of building), Vladimir Alekseevich pays more and more attention to the problems of strength and destruction of bodies in the formulation characteristic of modern fracture mechanics. Back in the 1950s, he emphasized the fundamental importance of Griffith's work, the role of dislocations not only in the mechanism of plastic deformation, but also in the process of destruction of metallic bodies, managed to qualitatively characterize the main stages of this process in the same way as it is done in modern literature (see. for example, his article "On the question of the characteristics of the process of destruction of bodies" in the collection scientific papers LISI, 1958, no. 29), and always noted the fundamental limitations of the classical "strength theories".

This he always emphasized in his lectures on the strength of materials. In the process of many years of teaching the course of strength of materials, his original point of view on this subject has developed: Vladimir Alekseevich has always been an opponent of the idea, which is quite common even among specialists, according to which the strength of materials is something like a “little brother” of the theory of elasticity and the theory of plasticity, a collection of simplified solutions to problems, in a more precise setting serving as the subject of these theories. He considered the resistance of materials to be an independent science with its main problem, which is the problem of assessing the strength of a body or a structural detail. Knowledge of the stress and strain fields in the body, perhaps a more accurate definition of which is the task of the theory of elasticity and the theory of plasticity, in itself does not give anything for solving this basic problem of the resistance of materials.

This point of view originated, in fact, back in the 20s (in the first edition of his already mentioned book on reinforced concrete structures, Vladimir Alekseevich wrote that the task of static calculation of a structure is not so much to find the true stress values ​​in it, but to ensure precisely its strength ), clearly took shape later and received its full expression in his “ short course resistance of materials”, published in two editions (M.: Gostekhteoretizdat, 1958; M.: Nauka, 1978). This book is notable for its original interpretation not only of the issue of strength and fracture, but also of many other issues.

Being a mathematically educated person and the author of a number of studies on the theory of elasticity, Vladimir Alekseevich, naturally, was able to deliver a course on the foundations of this science, which he taught at LISI for many years, in a way that was accessible enough for students, and at the same time at a high scientific level. The experience of this teaching served as the basis for his book "The Course of the Theory of Elasticity and Fundamentals of the Theory of Plasticity" (L.: Leningrad State University, 1973).

In total, Vladimir Alekseevich wrote more than 50 articles and four books. Countless consultations given by him to engineers and scientists of various profiles and ranks on various issues of calculation and design of structures, on fundamental issues of the science of strength, the theory of elasticity, and in general the mechanics of deformable bodies. He has always been distinguished by sharpness in posing and great adherence to principles in solving both engineering and purely scientific problems. During the organization of the Academy of Construction and Architecture of the USSR, prof. VA Gastev was elected its corresponding member.

Vladimir Alekseevich never shied away from public affairs, in particular, he was a deputy of the Leningrad City Council of its two convocations, a permanent member of the board of the Leningrad branch of the NTO Construction Industry. For merits in the development of science and in pedagogical work V. A. Gastev was awarded the Order of Lenin, he was awarded the title "Honored Worker of Science and Technology of the RSFSR".

Behind the outward restraint of Vladimir Alekseevich, there was a great benevolence: any of his students or employees at a difficult moment in work or life received his full support, unless the difficulties were associated with any life or scientific falsity. Vladimir Alekseevich himself was alien to traces of falsehood in any form, his uncompromising nature in science and life is still legendary. He was an example of a Scientist and a Man, an example worthy of being a model for his students and the students of his students.

Many excellent teachers and scientists belonged to the first generation of V. A. Gastev’s collaborators. This is Boris Samsonovich Zavriev - a man high culture, an excellent methodologist. He compiled a manual on the strength of materials, which provided invaluable assistance to students for decades). Also, Candidate of Technical Sciences, Associate Professor Samuil Petrovich Vyazmensky, one of the pioneers of the deformation calculation of thin-walled rods, compiled a methodological manual for the course of the theory of elasticity, worked at the department until he retired, gave the department his scientific library). Nikolai Yakovlevich Panarin - candidate of technical sciences, associate professor - defended his doctoral dissertation on the theory of concrete creep, after which he moved to the department of reinforced concrete structures as its head). And candidate of technical sciences, associate professor Georgy Davidovich Vishnevetsky developed the theory of shrinkage and creep of concrete, starting from the physics of the phenomenon, went to work at VZISI).

Soon A. A. Vakulenko, E. N. Baida and E. A. Beilin came forward. August Alekseevich Vakulenko (a graduate of LISI, a student of V. A. Gastev), having extensive knowledge in the field of mathematics and mechanics and being a talented scientist, had a great influence on the scientific atmosphere of the department. During his work at the department, he received and published in the DAN of the USSR important results on the application of thermodynamics of nonequilibrium processes to inelastic media. In the 60s he went to work at Leningrad State University, but never lost contact with our department (at Leningrad State University he became a candidate, then a doctor of physical and mathematical sciences, gained fame in the scientific circles of his country and abroad, was awarded the title of laureate of the State Prize of the Russian Federation for 2000). Eduard Nikolaevich Baida completed postgraduate studies at the department under the guidance of V. A. Gastev, became a candidate of sciences, worked as an assistant professor. His scientific interests were in the field of general solutions of the theory of elasticity for a parallelepiped under an arbitrary load. He published his results in the form of two brochures (not including articles) and defended as a doctoral dissertation. For a short time, he became the successor to V. A. Gastev as head of the department. Then he headed the department of structures made of wood and plastics.

Since the 1950s, I. I. Tarasenko, M. A. Kozlovskaya, P. Ya. In the 60-70s, the department received replenishment in the person of V. P. Ilyin, V. D. Kharlab, I. A. Sharapan, V. S. Popugaev, G. B. Shashkin, I. V. Yakk, V. A Pavlov, V. I. Kilimov, E. V. Gutovsky, N. E. Grishko, I. V. Ledovsky, G. V. Lobanova, M. I. Pirogov, V. P. Gnyubkin, I. I. Turenko , O. B. Khaletskaya, N. B. Levchenko, A. A. Kotova, I. A. Kupriyanov. Later, T. A. Zhuravleva, L. M. Kagan-Rosenzweig and I. V. Anikina (the last two were students of the department) became members of the department.

In 1974-1998 the department was headed by one of the students of V. A. Gastev, Doctor of Technical Sciences, prof. V. P. Ilyin, a specialist in the field of shell theory, the author of numerous works devoted to the calculation of pipelines. During the time of heading the department, V.P. Ilyin became a corresponding member of the RAASN, an honored worker of science and technology of Russia.

From 1998 to 2011 Department of Strength of Materials was headed by Doctor of Technical Sciences, prof. VD Kharlab, specialist in continuum mechanics, author of many papers on the problems of strength assessment and creep theory, including those taking into account buildup.

In 2011, the department was headed by Doctor of Technical Sciences G.S. Shulman.

Lab #3 (torsional testing of samples of materials)

Lab #5 (Straight rod bend)

The lesson is conducted by Ph.D., Assoc. Gorbatovsky Alexander Alexandrovich.

Archival videos:

film - lecture lecturer academician Rabotnov Yu. N. topic: "Mechanical properties of materials"

Lesson 1"Modal tuning fork analysis" download

Lesson 2"System Stability Analysis" download

Flutter(from the English flutter - trembling, vibration) - a combination of self-excited undamped bending and torsional self-oscillations of the structural elements of an aircraft - mainly an airplane wing or a helicopter rotor. As a rule, flutter appears when a certain critical speed is reached, which depends on the characteristics of the aircraft structure; the resulting resonance can lead to its destruction.

video1 video2 video3 video4 TacomaBridge

Exam questions for the 1st part of the course "Strength of materials" for everyone (except E4, E7) Download

Exam questions for the 2nd part of the course "Strength of materials" for everyone (except E4, E7)

Exam questions for the course "Stability of mechanical systems" Download

Plan training sessions on the course "Strength of materials" 2 course 3 semester Download

Strength of materials:

• TV course of strength of materials "Bending and statically indefinable systems"Under the general editorship of V.I. Feodosyev (Moscow," Higher School ", 1981) pdf
• Television course on the strength of materials "Stress state and stability" edited by V. I. Feodosyev (Moscow "High School" 1981) pdf
• TV course of strength of materials "Tension and torsion" V.I. Feodosiev, Yu.N. Rabotnov, A.V. Darkov, I.V. Rodin, B.Ya. Laschennikov (Moscow "High School" 1977) pdf

Member mechanics

• Calculation of strength and stiffness of bar systems in bending using MATHCAD doc

Oscillation Theory:

• Lectures on the theory of oscillations by L.I. Mandelstam pdf
• Nonlinear problems of machine dynamics I.I.Vulfson pdf
• Fundamentals of the applied theory of vibrations and impact Ya.G. Panovko pdf
• Strength and vibrations of structural elements by S.P. Timoshenko pdf
• The theory of mechanical oscillations V.L. Biderman pdf

Structural mechanics:

• Mechanics of bars T1 V.A. Svetlitsky pdf
• Mechanics of bars T2 V.A. Svetlitsky pdf
• Mechanics of thin-walled structures V.L. Biderman pdf
• Fundamentals of structural mechanics of machines S.V. Boyarshinov pdf
• Structural mechanics A.V.Aleksandrov pdf
• Structural mechanics of space technology structures V.I. Usyukin pdf
• Structural mechanics LA. I.F. Obraztsov pdf
• Theory and calculation of flexible elastic rods E.P.Popov pdf
• Numerical solution of problems in mechanics V.P. Ilyin pdf

Plasticity and creep:

• Kachanov L.M. - Fundamentals of the theory of plasticity djvu
• Fundamentals of the theory of elasticity and plasticity V.I. Samul pdf
• Applied theory of plasticity and creep N.N. Malinin pdf
• Sokolovsky V.V. - djvu plasticity theory

Finite element method:

• Introduction to the method finite elements D. Norrie pdf
• Finite elements and approximation O. Zenkevich pdf
• Finite element method in problems of dynamics V.P.Kandidov pdf
• Finite element method N.N. Shabrov pdf
• Finite element method O. Zenkevich pdf
• Finite Element Method by R. Gallagher pdf

Sustainability:

• Catastrophe theory V. I. Arnold
• Nonconservative problems of the theory of elastic stability VV Bolotin
• Non-Classical Problems in the Theory of Elastic Stability Deterministic, Probabilistic and Anti-Optimization Approaches
• ISAAC ELISHAKOFF /Florida Atlantic University/, YIWEI LI /Alpine Engineered Products, Inc./, JAMES H. STARNES /JR.
• NASA Langley Research Center/
• Ordinary Differential Equations Qualitative Theory with Applications ERROUSMITH
• Stability, instability and chaos GLENDINNING P.
• The general problem of motion stability 1950 LYAPUNOV A. M.
• Analytical Dynamics MEIROVITCH L.
• Introduction to the theory of motion stability MERKIN D.R.
• Vibration simulation using MATLAB Michael R. Hatch
• Asimptotika-nelineynoy-mehaniki MOISSEEV N.N.
• Nonlinear oscillations NAYFEH Ali H, MOOK Dean T
• Perturbation Methods NAYFEH Ali Hasan
• Stability and nonlinear solid me NGUEN Quoc Son
• Ustoichivost i kol PANOVKO YaG GUBANOVA II
• Ordinary differential equations PONTRYAGIN L.S.
• RABINOVITCH MI TRUBETSKOV DI Oscill
• Periodic Solutions of Nonlinear Dy REITHMEIERr E.
• Stability of Stationary Motions in RUBANOVSKY Examples and Problems
• Neustojchivosti i katastrofy v nauke i texnike (ru)(T)(C)(254s) THOMPSON Dzh.M.T
• Stability of deformable systems VOL MIR
• ZHURAVLEV V.F. 2001
• ZHURAVLEV V.F., KLIMOV M.D. 1988