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Journal articles on the topic 'Analytical mechanics'

Author: Grafiati
Published: 4 June 2021
Last updated: 11 March 2023

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1

Bridges, Thomas J. "Analytical mechanics." Contemporary Physics 60, no. 1 (January 2, 2019): 94–95. http://dx.doi.org/10.1080/00107514.2019.1606043.

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2

Hand, Louis, Janet Finch, and R. W. Robinett. "Analytical Mechanics." American Journal of Physics 68, no. 4 (April 2000): 390–93. http://dx.doi.org/10.1119/1.19451.

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3

Leaf, G. A. V. "Analytical woven fabric mechanics." International Journal of Clothing Science and Technology 14, no. 3/4 (June 2002): 223–29. http://dx.doi.org/10.1108/09556220210437185.

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4

Fowles, Grant, George Cassiday, and R. W. Robinett. "Analytical Mechanics, 6th ed." American Journal of Physics 68, no. 4 (April 2000): 390–93. http://dx.doi.org/10.1119/1.19448.

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5

Lurie,, AI, and W. Schiehlen,. "Analytical Mechanics. Foundations of Engineering Mechanics Series." Applied Mechanics Reviews 57, no. 1 (January 1, 2004): B1—B2. http://dx.doi.org/10.1115/1.1641772.

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6

Mizuno, Yoshinari. "Analytical Mechanics of Viscous Fluid." Papers in Meteorology and Geophysics 42, no. 2 (1991): 51–63. http://dx.doi.org/10.2467/mripapers.42.51.

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7

Bohren, Craig F. "Student's Guide to Analytical Mechanics." American Journal of Physics 87, no. 9 (September 2019): 766–67. http://dx.doi.org/10.1119/1.5119509.

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8

Gorni, Gianluca, and Gaetano Zampieri. "Variational aspects of analytical mechanics." São Paulo Journal of Mathematical Sciences 5, no. 2 (December 30, 2011): 249. http://dx.doi.org/10.11606/issn.2316-9028.v5i2p249-279.

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9

Smol’yakov, E. R. "Singular extremals in analytical mechanics." Doklady Mathematics 82, no. 3 (December 2010): 991–94. http://dx.doi.org/10.1134/s1064562410060402.

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10

Chang, Tienchong, Jingyan Geng, and Xingming Guo. "Prediction of chirality- and size-dependent elastic properties of single-walled carbon nanotubes via a molecular mechanics model." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 462, no. 2072 (April 12, 2006): 2523–40. http://dx.doi.org/10.1098/rspa.2006.1682.

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Molecular mechanics has been widely used to analytically study mechanical behaviour of carbon nanotubes. However, explicit expressions for elastic properties of carbon nanotubes are so far confined to some special cases due to the lack of fully constructed governing equations for the molecular mechanics model. In this paper, governing equations for an analytical molecular mechanics model are fully established. The explicit expressions for five in-plane elastic properties of a chiral single-walled carbon nanotube are derived, which make properties at different length-scales directly connected. The effects of tube chirality and tube diameter are investigated. In particular, the present results show that the classic relationship from the isotropic elastic theory of continuum mechanics between Young's modulus and shear modulus of a single-walled carbon nanotube is not retained. The present analytical results are helpful to the understanding of elastic properties of carbon nanotubes, and also useful to the topic of linking molecular mechanics with continuum mechanics.
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11

Mizuno, Yoshinari. "Analytical Mechanics of Viscous Fluid(II)." Papers in Meteorology and Geophysics 45, no. 1 (1994): 9–28. http://dx.doi.org/10.2467/mripapers.45.9.

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12

Rimrott, F. P. J., B. Tabarrok, and J. Altenbach. "DISPLACEMENT-IMPULSE COMPLEMENTARY IN ANALYTICAL MECHANICS." Transactions of the Canadian Society for Mechanical Engineering 18, no. 3 (September 1994): 225–47. http://dx.doi.org/10.1139/tcsme-1994-0013.

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Based on Euler’s linear momentum law, equations of motion of a mechanical system, consisting of a collection of point masses and force elements, such as springs or dashpots, are derived using generalized impulses, rather than generalized displacements, as coordinates. There are limitations to this approach involving both potential energy aspects and kinetic energy aspects. The present paper if of introductory nature and restricted to systems with translatory motion.
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13

Silverberg, J., and A. Widom. "Classical analytical mechanics and entropy production." American Journal of Physics 75, no. 11 (November 2007): 993–96. http://dx.doi.org/10.1119/1.2772279.

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14

Grigore, D. R. "Localizability and covariance in analytical mechanics." Journal of Mathematical Physics 30, no. 11 (November 1989): 2646–52. http://dx.doi.org/10.1063/1.528495.

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15

Tulczyjew, W. M. "An intrinsic formulation of nonrelativistic analytical mechanics and wave mechanics." Journal of Geometry and Physics 2, no. 3 (January 1985): 93–105. http://dx.doi.org/10.1016/0393-0440(85)90004-x.

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16

Li, Muyuan, and Jeong-Ha You. "Mechanics of tungsten blistering II: Analytical treatment and fracture mechanical assessment." Journal of Nuclear Materials 465 (October 2015): 702–9. http://dx.doi.org/10.1016/j.jnucmat.2015.07.007.

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17

Hedrih-Stevanovic, Katica. "Advances in classical and analytical mechanics: A reviews of author’s results." Theoretical and Applied Mechanics 40, no. 2 (2013): 293–383. http://dx.doi.org/10.2298/tam1302293h.

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A review, in subjective choice, of author?s scientific results in area of: classical mechanics, analytical mechanics of discrete hereditary systems, analytical mechanics of discrete fractional order system vibrations, elastodynamics, nonlinear dynamics and hybrid system dynamics is presented. Main original author?s results were presented through the mathematical methods of mechanics with examples of applications for solving problems of mechanical real system dynamics abstracted to the theoretical models of mechanical discrete or continuum systems, as well as hybrid systems. Paper, also, presents serries of methods and scientific results authored by professors Mitropolyski, Andjelic and Raskovic, as well as author?s of this paper original scientific research results obtained by methods of her professors. Vector method based on mass inertia moment vectors and corresponding deviational vector components for pole and oriented axis, defined in 1991 by K. Hedrih, is presented. Results in construction of analytical dynamics of hereditary discrete system obtained in collaboration with O. A. Gorosho are presented. Also, some selections of results author?s postgraduate students and doctorantes in area of nonlinear dynamics are presented. A list of scientific projects headed by author of this paper is presented with a list of doctoral dissertation and magister of sciences thesis which contain scientific research results obtained under the supervision by author of this paper or their fist doctoral candidates.
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18

Pechenkin, Alexander A. "QBism: An Analytical Review." Epistemology & Philosophy of Science 57, no. 4 (2020): 199–216. http://dx.doi.org/10.5840/eps202057471.

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A new interpretation of quantum mechanics, the interpretation which became popular in XXI, has been taken under consideration. This is the quantum baysinism (QBism) which may be taken as an extrapolation of the baysian philosophy of probability over the interpretation of quantum mechanics. The baysian philosophy of quantum mechanics has been compared with the Copenhagen interpretation of quantum mechanics, the interpretation which can been treated as standard as it is represented in the main textbooks. In contrast to the Copenhagen interpretation which proceeds from the triplets – nature, apparatus and observer (agent), QBism emphasizes the conscious of the observer: the quantum state is the observer’s state, and by means of the quantum conceptual technique the observer constructs his/her own image of quantum processes. By means of measurement the observer updates his/her quantum state, the measuring apparatus being an extension of the observer’s sensuality. From the point of the QBism’s view the phenomenon of decoherence which is widely discussed in the contemporary literature is not essential for the theory of measurement in quantum mechanics. The decoherence explains why the macroscopic phenomena don’t expose the interference behavior which is characteristic for quantum superposition. From the historicо-philosophical point of view Qbism can be traced back to American instrumentalism and operationalism.
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19

Fernandes, Fábio A. O., Clauber Marques, Jovani Castelan, Daniel Fritzen, and Ricardo J. Alves de Sousa. "Learning Processes in Mechanics of Structures: Allying Analytical and Numerical Approaches." Education Sciences 10, no. 4 (April 20, 2020): 114. http://dx.doi.org/10.3390/educsci10040114.

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This paper reports pedagogical experiences and educational techniques in the field of Mechanics of Structures (Mechanical Engineering degree), resorting to computational tools. Several aspects are addressed, covering CAD (Computer-Aided Design) modelling systems to CAE (Computer-Aided Engineering) solutions, in terms of analysis and validation of mechanical resistance calculations. Therefore, structural mechanics fundamental concepts and mechanics of materials are also addressed. Particular focus is given on the development of curricula components related to Computer-Aided Design and Manufacturing. Doing so, three-dimensional structural modelling is applied to study the behaviour in selected simple case-studies where an external load is applied and the corresponding deflections are evaluated. Then, analytical and numerical analyses are performed and compared. During classes, patent aversion to solve analytical problems was clearly observed on the part of the students once calculus knowledge was required. The typical trend in engineering students, skipping the manual analytical methodology to solve a problem in order to go straight to numerical simulations via commercial Finite Element (FE) codes, was observed. The main focus of this work is, therefore, to determine the pedagogical effects of allying the analytical procedures and virtual simulators. It was possible to confirm the beneficial aspects of such methodology, considering that the regular engineering student has already a scientific basis on calculus and analytical process. Such knowledge will support mechanical project decisions, from model development to the analysis, and a sounding background to perform criticism of the results provided by the software.
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20

Zeng, Yijin, Hailong Jiang, Shidong Ding, Junhai Chen, Yi Wang, and Jie Zheng. "Analytical and Experimental Investigations on Mechanical Properties of Weak Plane Bedding in Mudstone." Geofluids 2021 (June 4, 2021): 1–5. http://dx.doi.org/10.1155/2021/5408701.

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Wellbore instabilities frequently occur in mudstone formation with weak plane bedding because of strong anisotropies. The mechanics parameters of weak plane bedding are of vital significance to the wellbore stability analysis for mudstone formations. The conventional method for determining the mechanics parameters is to fit lots of triaxial test data due to the blindness of coring. In this paper, an evaluation method of the mechanics parameters of weak plane bedding is proposed to improve the accuracy of weak plane bedding mechanical properties. The mechanics parameters of weak plane bedding are obtained by combing the single-weak plane failure criterion with the compressive strength of rock obtained by the triaxial test of cores with different coring angles. It is seen that the new evaluation method is simple and convenient. On the other hand, a validation method of the mechanics parameters of weak plane bedding is proposed to ensure their accuracy. The compressive strength obtained from the core with the special coring angle is compared with the theoretical compressive strength for verifying the accuracy of weak plane bedding mechanical properties. It is observed that the proposed evaluation and validation methods can be used to measure the value of weak plane bedding mechanical properties precisely. The proposed methods are general and can be used for measuring the mechanical properties of fracture weak-plane and joint weak-plane.
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21

Rabinskiy, Lev N., Nadezhda P. Shoumova, and Sergey I. Zhavoronok. "Analytical mechanics of membrane shells: a review." Applied Mathematical Sciences 10 (2016): 2189–204. http://dx.doi.org/10.12988/ams.2016.64158.

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22

Woodhouse, N. M. J. "METHODS OF DIFFERENTIAL GEOMETRY IN ANALYTICAL MECHANICS." Bulletin of the London Mathematical Society 23, no. 1 (January 1991): 105–6. http://dx.doi.org/10.1112/blms/23.1.105.

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23

Boothby, William M. "Book Review: Symplectic geometry and analytical mechanics." Bulletin of the American Mathematical Society 20, no. 1 (January 1, 1989): 89–95. http://dx.doi.org/10.1090/s0273-0979-1989-15708-x.

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24

Feng-Xiang, Mei, Xie Jia-Fang, and Gang Tie-Qiang. "Analytical mechanics methods for solving Whittaker equations." Chinese Physics 16, no. 10 (October 2007): 2845–47. http://dx.doi.org/10.1088/1009-1963/16/10/003.

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25

Misra, Arun. "Book Review: Analytical Mechanics of Space Systems." Journal of Guidance, Control, and Dynamics 28, no. 5 (September 2005): 1085–86. http://dx.doi.org/10.2514/1.18460.

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26

Bains, R. "Methods of differential geometry in analytical mechanics." Engineering Analysis with Boundary Elements 9, no. 4 (January 1992): 367. http://dx.doi.org/10.1016/0955-7997(92)90031-2.

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27

Anderson Jr., Charles E. "Analytical models for penetration mechanics: A Review." International Journal of Impact Engineering 108 (October 2017): 3–26. http://dx.doi.org/10.1016/j.ijimpeng.2017.03.018.

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28

McNally, D. S., and R. G. C. Arridge. "An analytical model of intervertebral disc mechanics." Journal of Biomechanics 28, no. 1 (January 1995): 53–68. http://dx.doi.org/10.1016/0021-9290(95)80007-7.

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29

Iurato, Giuseppe. "Analytical mechanics and Levi-Civita’s parallel transport." Rendiconti Lincei - Matematica e Applicazioni 28, no. 2 (2017): 293–304. http://dx.doi.org/10.4171/rlm/763.

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30

Bains, R. "Methods of differential geometry in analytical mechanics." Advances in Engineering Software 14, no. 3 (January 1992): 237. http://dx.doi.org/10.1016/0965-9978(92)90034-d.

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31

Kolchunov, Vladimir I. "Numerical-analytical method in reinforced concrete mechanics." Structural Mechanics of Engineering Constructions and Buildings 18, no. 6 (December 15, 2022): 525–33. http://dx.doi.org/10.22363/1815-5235-2022-18-6-525-533.

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A variant of the numerical-analytical method in the nonlinear mechanics of reinforced concrete is proposed. Calculation models make it possible to take into account a number of important factors, such as discrete cracks, the effect of concrete discontinuity, and reinforcement reactions in a crack. When solving the inverse problem of determining the width of the crack opening, the deformation effect is not set, but is modeled using the “joining” of the assigned minimum possible width, its opening under the appropriate loading. In the calculation scheme, pairs of finite elements are distinguished, adjacent to such a crack from opposite special sides, called a two-element cantilever model. Pairs are considered in two states: before their jointing of cracks and after their jointing, taking into account the deformation effect and the effect of concrete discontinuity. The calculation algorithm is based on combinations of an analytical model for calculating the stiffness of complexly stressed structures and the intelligence of the “LIRA-SAPR” software package.
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32

KOBAYASHI, Satoshi, and Shusaku YAMAJI. "B403 Analytical characterization of mechanical behavior of bioresorbable composites based on damage mechanics." Proceedings of the JSME Conference on Frontiers in Bioengineering 2008.19 (2008): 135–36. http://dx.doi.org/10.1299/jsmebiofro.2008.19.135.

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33

Xiao, J. R., B. A. Gama, and J. W. Gillespie. "An analytical molecular structural mechanics model for the mechanical properties of carbon nanotubes." International Journal of Solids and Structures 42, no. 11-12 (June 2005): 3075–92. http://dx.doi.org/10.1016/j.ijsolstr.2004.10.031.

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34

Abbott, Steve, Harry G. Kwatny, and Gilmer L. Blankenship. "Nonlinear Control and Analytical Mechanics: A Computational Approach." Mathematical Gazette 85, no. 504 (November 2001): 574. http://dx.doi.org/10.2307/3621831.

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35

Butcher, Eric A. "Analytical Mechanics of space systems: Fourth Edition [Bookshelf]." IEEE Control Systems 39, no. 5 (October 2019): 110–11. http://dx.doi.org/10.1109/mcs.2019.2925258.

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36

Phillips, W. F., and E. A. Anderson. "Analytical Approximation for the Mechanics of Airplane Spin." Journal of Aircraft 39, no. 6 (November 2002): 1084–88. http://dx.doi.org/10.2514/2.3041.

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37

WALSH, THOMAS J., and OZDEN O. OCHOA. "ANALYTICAL AND EXPERIMENTAL MECHANICS OF WOVEN FABRIC COMPOSITES." Mechanics of Composite Materials and Structures 3, no. 2 (June 1996): 133–52. http://dx.doi.org/10.1080/10759419608945860.

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38

Massa, Enrico, Enrico Pagani, and Stefano Vignolo. "Legendre transformation and analytical mechanics: A geometric approach." Journal of Mathematical Physics 44, no. 4 (April 2003): 1709–22. http://dx.doi.org/10.1063/1.1555684.

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39

Yue, Kaimin, Wei Gao, Rui Huang, and Kenneth M. Liechti. "Analytical methods for the mechanics of graphene bubbles." Journal of Applied Physics 112, no. 8 (October 15, 2012): 083512. http://dx.doi.org/10.1063/1.4759146.

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40

Krasilnikov, P. S. "On the non-predicative judgments in analytical mechanics." Journal of Physics: Conference Series 96 (February 1, 2008): 012176. http://dx.doi.org/10.1088/1742-6596/96/1/012176.

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41

Kwatny,, HG, GL Blankenship,, and SC Sinha,. "Nonlinear Control and Analytical Mechanics: A Computational Approach." Applied Mechanics Reviews 54, no. 4 (July 1, 2001): B63—B64. http://dx.doi.org/10.1115/1.1383676.

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42

Walsh, Thomas J., and Ozden O. Ochoa. "Analytical and experimental mechanics of woven fabric composites." Mechanics of Composite Materials and Structures 3, no. 2 (June 1996): 133–52. http://dx.doi.org/10.1002/(sici)1234-986x(199606)3:2<133::aid-mcm38>3.3.co;2-j.

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43

Luo, En, LiFu Liang, and WeiHua Li. "Unconventional Hamilton-type variational principles for analytical mechanics." Science in China Series G: Physics, Mechanics and Astronomy 50, no. 2 (April 2007): 152–62. http://dx.doi.org/10.1007/s11433-007-0023-0.

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44

Bui, H. D., and K. Dang Van. "Some recently-developed analytical aspects of fracture mechanics." Nuclear Engineering and Design 105, no. 1 (December 1987): 3–9. http://dx.doi.org/10.1016/0029-5493(87)90223-8.

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45

Alsufyani, Omar S., Renad S. AlSufyani, Abdulrahman E. Altowairqi, Tethkar M. AlTowairqi, and Mohammed H. Altowairqi. "Mechanics of Work-related Back Pain: An Analytical Review." International Journal of Innovative Research in Medical Science 6, no. 12 (December 26, 2021): 944–47. http://dx.doi.org/10.23958/ijirms/vol06-i12/1305.

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The prevalence of Low back pain (LBP) is exceedingly high, upwards of 80% in the general population. LBP is manifested as pain in the thoraco-lumbar area and often related to a muscle pull. This paper is a narrative review of the mechanics of work-related low back pain. In this paper, the researchers provide a different insight of the occupational low back pain as they introduce a theoretical background of the occupational low back pain and management of low back pain at workplace. In addition, the study highlight the research focus within the field of mechanical loading and biomechanical assessment methods of low back pain. The study found that low back pain is a reversible process in case causes are identified. However, it is a challenging issue to identify the causes unless well-designed models and assessment methods are applied for each case separately.
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46

Askari, Davood, and Mehrdad N. Ghasemi-Nejhad. "Generally cylindrical orthotropic constitutive modeling of matrix-filled carbon nanotubes: Transverse mechanical properties and responses." Journal of Sandwich Structures & Materials 22, no. 7 (September 5, 2018): 2330–63. http://dx.doi.org/10.1177/1099636218795377.

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The main objective of this article is to introduce exact analytical closed-form solutions for the prediction of effective transverse Young’s modulus and Poisson ratio of a matrix-filled nanotube (i.e., a representative element of nanotube-based nanocomposites), as well as its mechanical behavior, when subjected to external loads. In this work, both the nanotube and its filler were considered to be generally cylindrical orthotropic. To ensure no loss of generality, the no plane strain condition was used, and the axial strain was taken into consideration to obtain a more precise set of solutions. Analytical formulae were developed based on the well-established principles of linear elasticity and continuum mechanics, considering effective orthotropic properties for both constituents as continuum tubes. To validate and verify the accuracy of the closed-form solutions obtained from the analytical approach, a three-dimensional finite element analysis was performed, and results were compared to those obtained from the analytical exact solutions. Excellent agreement was achieved, and the analytically obtained solutions were verified.
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47

Götte, Jörg. "Analytical Mechanics for Relativity and Quantum Mechanics, 2nd edition, by Oliver Davies Johns." Contemporary Physics 53, no. 4 (July 2012): 385. http://dx.doi.org/10.1080/00107514.2012.689343.

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48

Needleman, A. "Computational Mechanics." Applied Mechanics Reviews 38, no. 10 (October 1, 1985): 1282–83. http://dx.doi.org/10.1115/1.3143692.

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Computational methods play a key role in solid mechanics, as a way of modelling fundamental aspects of mechanical behavior, as a vehicle for transferring this improved modelling capability into new engineering tools, and as a means of utilizing these tools in engineering practice. Modern computational methods enable realistic models of mechanical systems to be formulated without regard as to whether or not analytical solutions are feasible. Increased computational capability is also an incentive for developing more accurate theories, since it becomes possible to use such theories to solve complex engineering problems.
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49

Alferov, Gennadiy V., Vladimir S. Korolev, Elena N. Polyakhova, and Konstantin V. Kholshevnikov. "Dynamics modeling and scientific development directions of mechanics and applied mathematics." Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy 8, no. 1 (2021): 138–49. http://dx.doi.org/10.21638/spbu01.2021.112.

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The development of scientific areas of mechanics as a result of the research of the Honorary Professor of St.Petersburg State University, Honored Worker of Science and Technology of the Russian Federation, Doctor of Physics and Mathematics Viktor Sergeevich Novoselov, the founder of the scientific school on analytical mechanics, space dynamics and applied mathematics is considered. The main theorems of analytic dynamics were extended to mechanical systems of variable composition. Using a variational technique, a number of remarkable results were obtained on the dynamics of controlled systems. In particular, a general scheme for constructing analytical approximations was proposed and repeatedly applied to solve equations.
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50

GRABOWSKA, KATARZYNA, PAWEŁ URBAŃSKI, and JANUSZ GRABOWSKI. "GEOMETRICAL MECHANICS ON ALGEBROIDS." International Journal of Geometric Methods in Modern Physics 03, no. 03 (May 2006): 559–75. http://dx.doi.org/10.1142/s0219887806001259.

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A natural geometric framework is proposed, based on ideas of W. M. Tulczyjew, for constructions of dynamics on general algebroids. One obtains formalisms similar to the Lagrangian and the Hamiltonian ones. In contrast with recently studied concepts of Analytical Mechanics on Lie algebroids, this approach requires much less than the presence of a Lie algebroid structure on a vector bundle, but it still reproduces the main features of the Analytical Mechanics, like the Euler–Lagrange-type equations, the correspondence between the Lagrangian and Hamiltonian functions (Legendre transform) in the hyperregular cases, and a version of the Noether Theorem.
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