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Journal articles on the topic 'Analytical mechanics'

Author: Grafiati

Published: 4 June 2021

Last updated: 25 July 2025

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1

Bridges, Thomas J. "Analytical mechanics." Contemporary Physics 60, no. 1 (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 (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 (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 (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 (2004): B1—B2. http://dx.doi.org/10.1115/1.1641772.

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6

Rahmah, Tier Nurdiani Zabal, Rodiah Rodiah, and Djoko Pitoyo. "PENENTUAN MEKANIK TERBAIK MENGGUNAKAN METODE ANALYTICAL HIERARCHY PROCESS DI CV X BANDUNG." Prosiding Seminar Sosial Politik, Bisnis, Akuntansi dan Teknik 5 (December 9, 2023): 327. http://dx.doi.org/10.32897/sobat.2023.5.0.3114.

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At this time, the motorbikes is one of the most commonly used means of transportation. In 2019, the development of motorized vehicles reached 1,009.443 units in the City of Bandung. he purpose of this of this research is to conduct an assessment of the mechanics in the workshop, determine the mechanics, and determine the mechanical assessment criteria that can affect the quality of the workshop. This study uses a pairwise comparison questionnaire with the Analytical Hierarchy Process (AHP) method involving 3 respondents, namely the workshop owner, the workshop admin, and the head mechanic. The

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7

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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8

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

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9

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

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10

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

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11

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 (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.

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12

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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13

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 (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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14

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

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15

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

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16

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

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17

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, appa

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18

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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19

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 a

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20

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 (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 Manufactu

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21

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, presen

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22

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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23

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

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24

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

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25

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

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26

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

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27

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

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28

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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29

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

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30

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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31

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

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32

Kolchunov, Vladimir I. "Numerical-analytical method in reinforced concrete mechanics." Structural Mechanics of Engineering Constructions and Buildings 18, no. 6 (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 distinguishe

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33

Gong, Guangping, Maoyi Zhang, Dongqi An, Rui Li, and Yewang Su. "An Analytical Mechanics Model for the Rotary Sliding Triboelectric Nanogenerator." Micromachines 15, no. 3 (2024): 371. http://dx.doi.org/10.3390/mi15030371.

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In recent years, global attention towards new energy has surged due to increasing energy demand and environmental concerns. Researchers have intensified their focus on new energy, leading to advancements in technologies like triboelectrification, which harnesses energy from the environment. The invention of the triboelectric nanogenerator (TENG) has led to new possibilities, with the rotary sliding TENG standing out for its superior performance. However, understanding its mechanical behavior remains a challenge, potentially leading to structural issues. This paper introduces a novel analytical

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34

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 (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

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35

Putra, Valentinus Galih Vidia, Juliany Ningsih Mohamad, and Yusril Yusuf. "A New Model to Calculate Stress Relaxation of Viscoelastic Material for Polyester-Wool-Spandex Yarn with Analytical Mechanics Approach." Jurnal Penelitian Fisika dan Aplikasinya (JPFA) 11, no. 2 (2021): 94–105. http://dx.doi.org/10.26740/jpfa.v11n2.p94-105.

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Many researchers have studied the mechanical properties of yarn in textile science because mechanical properties are the essential parameter in determining yarn quality. This research aims to make a new model and prediction of the material properties of textile yarns, especially for stress relaxation of viscoelastic textile yarn for polyester-wool-spandex yarn cases. In this research, a new approximation of the analytical mechanics model of stress relaxation using a system of four springs and a dashpot to determine viscoelastic yarn properties as polyester-wool-spandex has been studied. A yarn

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36

Guo, Licheng, Zhihai Wang, and Naotake Noda. "A fracture mechanics model for a crack problem of functionally graded materials with stochastic mechanical properties." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 468, no. 2146 (2012): 2939–61. http://dx.doi.org/10.1098/rspa.2012.0156.

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This study aimed to develop a method to build a ‘bridge’ between the macro fracture mechanics model and stochastic micromechanics-based properties so that the macro fracture mechanics model can be expanded to the fracture mechanics problem of functionally graded materials (FGMs) with stochastic mechanical properties. An analytical fracture mechanics model is developed to predict the stress intensity factors (SIFs) in FGMs with stochastic uncertainties in phase volume fractions. Considering the stochastic description of the phase volume fractions, a micromechanics-based method is developed to d

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37

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.

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38

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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39

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 (2005): 3075–92. http://dx.doi.org/10.1016/j.ijsolstr.2004.10.031.

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40

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 (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 asse

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41

Georgantzinos, SK, K. Kariotis, GI Giannopoulos, and NK Anifantis. "Mechanical properties of hexagonal boron nitride monolayers: Finite element and analytical predictions." Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 234, no. 20 (2020): 4126–35. http://dx.doi.org/10.1177/0954406220919461.

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The mechanical response of two-dimensional nanostructures may be significantly affected by their size. In this work, a molecular structural mechanics model is developed and is implemented in order to predict the nanomechanical behavior and calculate the corresponding elastic properties of hexagonal boron nitride sheets and describe their size-dependence. The finite element approach utilizes appropriate spring-like elements for the modeling of interactions between atoms within the hexagonal boron nitride structure, the stiffness constants of which are obtained by the molecular mechanics theory.

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42

Needleman, A. "Computational Mechanics." Applied Mechanics Reviews 38, no. 10 (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 comp

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43

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

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44

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

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45

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

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46

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

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47

Vikas Kumar. "Numerical and Analytical Approaches to Fractional Quantum Mechanics." Communications on Applied Nonlinear Analysis 31, no. 4s (2024): 425–32. http://dx.doi.org/10.52783/cana.v31.936.

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Our research meticulously navigates the realms of Fractional Quantum Mechanics (FQM), focusing on a critical examination of both numerical and analytical methods that harness the potential of fractional calculus to illuminate the quantum world's complexities. By embarking on this scholarly journey, we aim to decode the intricate dynamics that fractional equations reveal about quantum systems, pushing the boundaries of conventional quantum mechanics. This comparative study meticulously evaluates the efficacy and insights provided by these two distinct approaches, highlighting their contribution

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48

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

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49

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 (2012): 083512. http://dx.doi.org/10.1063/1.4759146.

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50

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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