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Journal articles on the topic 'Forças dissipativas'

Author: Grafiati

Published: 4 June 2021

Last updated: 1 February 2022

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1

Santiago, A. J., and H. Rodrigues. "Efeitos de amortecimento sobre um oscilador X³." Revista Brasileira de Ensino de Física 27, no. 2 (2005): 245–49. http://dx.doi.org/10.1590/s1806-11172005000200010.

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Discutimos um método bastante simples de se introduzir o estudo do oscilador x³ amortecido, tanto teórica como experimentalmente, em cursos elementares de Física. Dados experimentais do deslocamento de um oscilador x³ em função do tempo, obtidos em medidas de ultrasom, são bem reproduzidos quando forças dissipativas são levadas em conta através de um único parâmetro.

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2

De Jesus, A. D. C. "Análise Algébrica de Transferências Orbitais Sujeitas a Desvios Superpostos em "Pitch" e "Yaw"." Sitientibus Série Ciências Físicas 1 (December 20, 2005): 39. http://dx.doi.org/10.13102/sscf.v1i0.5252.

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Os efeitos de desvios em direção do vetor empuxo em manobras de transferência orbital de um veículo espacial podem gerar desalinhamentos definitivos, afastando-o da sua trajetória final nominal. Manobras de correção são implementadas, mas estes desvios tendem a aumentar durante o tempo de vida do veículo pelo desgaste do sistema propulsor. As manobras de correção, neste período, não conseguem alcançar seus objetivos e o veículo é perdido, devido as forças dissipativas e os desvios do sistema propulsor. O entendimento de como estes desvios interferem na órbita final é de grande importância para o controle de uma missão sujeita a desvios em "pitch" e "yaw". Neste trabalho, mostramos a relação algébrica e existente entre os desvios nestes ângulos e seus efeitos em elementos keplerianos importantes que definem a órbita final do veículo. Esta análise permite o estabelecimento teórico e exato entre os valores médios destas grandezas numa relação de causa e efeito não-linear, que prevê os casos de superposição dos efeitos na direção de queima nos propulsores. Os efeitos das forças dissipativas foram considerados desprezíveis em relação aos efeitos destes desvios durante a manobra de transferência orbital.

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3

Souza, Carlos Eduardo Rodrigues, Maria Teresa Climaco dos Santos Thomaz, and Dácio M. Souza. "Conservação da velocidade do CM de duas partículas sob a ação de forças de atrito em movimento unidimensional (D = 1)." Caderno Brasileiro de Ensino de Física 36, no. 2 (2019): 543–66. http://dx.doi.org/10.5007/2175-7941.2019v36n2p543.

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A força de atrito está presente no cotidiano dos alunos e a compreensão de sua ação sobre os corpos aproxima a Ciência de sua experiência. A lei de conservação do momento linear total, envolvendo sistemas de partículas sob a ação de forças dissipativas externas, não é geralmente discutida nos livros-texto de Mecânica Newtoniana utilizados nos ensinos médio e superior, nas instituições de ensino brasileiras. Discutimos neste trabalho o movimento mais simples que duas partículas podem ter: o movimento unidimensional em sentidos opostos, sob a ação de forças de atrito cinético externas. Mostramos que a conservação do momento linear do conjunto formado por essas partículas, sob a ação de duas forças de atrito cinético, ocorre apenas em partes do movimento unidimensional e quando elas se deslocam em sentidos opostos. Aproveitando o grande envolvimento dos alunos com aplicativos em celulares, apresentamos uma montagem experimental que verifica a conservação da velocidade do centro de massa (CM) desses dois corpos. O aparato experimental é simples e de baixo custo, podendo ser facilmente reproduzido em sala de aula como estratégia para estimular os estudantes a trabalharem com ferramentas matemáticas e métodos experimentais, de forma a discutirem situações físicas que incluem as forças de atritos presentes no seu dia a dia.

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4

Dodu, Roger P. "De la reciprocite des forces dissipatives." Mechanics Research Communications 12, no. 4 (1985): 227–32. http://dx.doi.org/10.1016/0093-6413(85)90062-x.

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5

Giner, V., M. Sancho, and G. Martínez. "Electromagnetic forces on dissipative dielectric media." American Journal of Physics 63, no. 8 (1995): 749–53. http://dx.doi.org/10.1119/1.18079.

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6

Brown, George E., Matthew Overby, Zahra Forootaninia, and Rahul Narain. "Accurate dissipative forces in optimization integrators." ACM Transactions on Graphics 37, no. 6 (2019): 1–14. http://dx.doi.org/10.1145/3272127.3275011.

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7

Baumgarten, Karsten, and Brian P. Tighe. "Viscous forces and bulk viscoelasticity near jamming." Soft Matter 13, no. 45 (2017): 8368–78. http://dx.doi.org/10.1039/c7sm01619k.

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8

Izvekov, Sergei, and Betsy M. Rice. "On the importance of shear dissipative forces in coarse-grained dynamics of molecular liquids." Physical Chemistry Chemical Physics 17, no. 16 (2015): 10795–804. http://dx.doi.org/10.1039/c4cp06116k.

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In this work we demonstrate from first principles that the shear frictions describing dissipative forces in the direction normal to the vector connecting the coarse-grained (CG) particles in dissipative particle dynamics (DPD) could be dominant for certain real molecular liquids at high-resolution coarse-graining.

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9

Gupta, Anurag, and Xanthippi Markenscoff. "Configurational forces as dissipative mechanisms: a revisit." Comptes Rendus Mécanique 336, no. 1-2 (2008): 126–31. http://dx.doi.org/10.1016/j.crme.2007.11.004.

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10

Calabrese, Allegra, Djamal Gacemi, Mathieu Jeannin, et al. "Coulomb forces in THz electromechanical meta-atoms." Nanophotonics 8, no. 12 (2019): 2269–77. http://dx.doi.org/10.1515/nanoph-2019-0314.

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AbstractThanks to their large sensitivity to electromagnetic fields, microelectromechanical systems are becoming attractive for applications in the THz band (0.1–10 THz). However, up to date all THz electromechanical systems couple electromagnetic fields to mechanical motion only through photothermal dissipative forces: such mechanism allows for sensitive detection but prevents applications that require coherent transfer of information. In this work, we present a THz electromechanical meta-atom where the coupling between an electromagnetic mode and the displacement of a metallic micro-beam is substantially controlled by a conservative Coulomb force due to charge oscillations in the nanometric-size capacitive part of the meta-atom. We present experiments, performed at room temperature, which allow distinguishing and precisely quantifying the contributions of conservative and dissipative forces in the operation of our electromechanical resonator. Our analysis shows that the Coulomb force becomes the dominant contribution of the total driving force for high-order mechanical modes. Such system paves the way for the realization of coherent THz to optical transducers and allows the realization of fundamental optomechanical systems in the THz frequency range.

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11

RABEI, EQAB M., TAREQ S. ALHALHOLY, and AKRAM ROUSAN. "POTENTIALS OF ARBITRARY FORCES WITH FRACTIONAL DERIVATIVES." International Journal of Modern Physics A 19, no. 17n18 (2004): 3083–92. http://dx.doi.org/10.1142/s0217751x04019408.

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The Laplace transform of fractional integrals and fractional derivatives is used to develop a general formula for determining the potentials of arbitrary forces: conservative and nonconservative in order to introduce dissipative effects (such as friction) into Lagrangian and Hamiltonian mechanics. The results are found to be in exact agreement with Riewe's results of special cases. Illustrative examples are given.

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12

Doinikov, Alexander A. "Dissipative effects on Bjerknes forces between two bubbles." Journal of the Acoustical Society of America 102, no. 2 (1997): 747–51. http://dx.doi.org/10.1121/1.419901.

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13

Tamayo, Daniel, Hanno Rein, Pengshuai Shi, and David M. Hernandez. "REBOUNDx: a library for adding conservative and dissipative forces to otherwise symplectic N-body integrations." Monthly Notices of the Royal Astronomical Society 491, no. 2 (2019): 2885–901. http://dx.doi.org/10.1093/mnras/stz2870.

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ABSTRACT Symplectic methods, in particular the Wisdom–Holman map, have revolutionized our ability to model the long-term, conservative dynamics of planetary systems. However, many astrophysically important effects are dissipative. The consequences of incorporating such forces into otherwise symplectic schemes are not always clear. We show that moving to a general framework of non-commutative operators (dissipative or not) clarifies many of these questions, and that several important properties of symplectic schemes carry over to the general case. In particular, we show that explicit splitting schemes generically exploit symmetries in the applied external forces, which often strongly suppress integration errors. Furthermore, we demonstrate that so-called ‘symplectic correctors’ (which reduce energy errors by orders of magnitude at fixed computational cost) apply equally well to weakly dissipative systems and can thus be more generally thought of as ‘weak splitting correctors’. Finally, we show that previously advocated approaches of incorporating additional forces into symplectic methods work well for dissipative forces, but give qualitatively wrong answers for conservative but velocity-dependent forces like post-Newtonian corrections. We release REBOUNDx, an open-source C library for incorporating additional effects into REBOUNDN-body integrations, together with a convenient python wrapper. All effects are machine independent and we provide a binary format that interfaces with the SimulationArchive class in REBOUND to enable the sharing and reproducibility of results. Users can add effects from a list of pre-implemented astrophysical forces, or contribute new ones.

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14

Tagliazucchi, M., and I. Szleifer. "Dynamics of dissipative self-assembly of particles interacting through oscillatory forces." Faraday Discussions 186 (2016): 399–418. http://dx.doi.org/10.1039/c5fd00115c.

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Dissipative self-assembly is the formation of ordered structures far from equilibrium, which continuously uptake energy and dissipate it into the environment. Due to its dynamical nature, dissipative self-assembly can lead to new phenomena and possibilities of self-organization that are unavailable to equilibrium systems. Understanding the dynamics of dissipative self-assembly is required in order to direct the assembly to structures of interest. In the present work, Brownian dynamics simulations and analytical theory were used to study the dynamics of self-assembly of a mixture of particles coated with weak acids and bases under continuous oscillations of the pH. The pH of the system modulates the charge of the particles and, therefore, the interparticle forces oscillate in time. This system produces a variety of self-assembled structures, including colloidal molecules, fibers and different types of crystalline lattices. The most important conclusions of our study are: (i) in the limit of fast oscillations, the whole dynamics (and not only those at the non-equilibrium steady state) of a system of particles interacting through time-oscillating interparticle forces can be described by an effective potential that is the time average of the time-dependent potential over one oscillation period; (ii) the oscillation period is critical to determine the order of the system. In some cases the order is favored by very fast oscillations while in others small oscillation frequencies increase the order. In the latter case, it is shown that slow oscillations remove kinetic traps and, thus, allow the system to evolve towards the most stable non-equilibrium steady state.

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15

Беляев, Aleksandr Belyaev, Тришина, and Tatyana Trishina. "FORCED TORSIONAL VIBRATIONS IN THE PRESENCE OF RESISTANCE FORCES." Modeling of systems and processes 8, no. 1 (2015): 9–11. http://dx.doi.org/10.12737/12012.

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The work proposed differential equations describing the torsional oscillations of one- and two-mass mechanical systems taking into account the dissipative losses of various kinds and nature. The dependences for determining the equivalent rigidity of the elastic ties. Using the results of these studies can be realized rational selection of inertial and elastic properties of materials and components damper mechanical system

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16

Berry, M. V., and Pragya Shukla. "Hamiltonian curl forces." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 471, no. 2176 (2015): 20150002. http://dx.doi.org/10.1098/rspa.2015.0002.

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Newtonian forces depending only on position but which are non-conservative, i.e. whose curl is not zero, are termed ‘curl forces’. They are non-dissipative, but cannot be generated by a Hamiltonian of the familiar isotropic kinetic energy + scalar potential type. Nevertheless, a large class of such non-conservative forces (though not all) can be generated from Hamiltonians of a special type, in which kinetic energy is an anisotropic quadratic function of momentum. Examples include all linear curl forces, some azimuthal and radial forces, and some shear forces. Included are forces exerted on electrons in semiconductors, and on small particles by monochromatic light near an optical vortex. Curl forces imply restrictions on the geometry of periodic orbits, and non-conservation of Poincaré's integral invariant. Some fundamental questions remain, for example: how does curl dynamics generated by a Hamiltonian differ from dynamics under curl forces that are not Hamiltonian?

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17

Ostrowski, Jim. "Reduced equations for nonholonomic mechanical systems with dissipative forces." Reports on Mathematical Physics 42, no. 1-2 (1998): 185–209. http://dx.doi.org/10.1016/s0034-4877(98)80010-4.

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18

Suchoi, Oren, and Eyal Buks. "Sensing dispersive and dissipative forces by an optomechanical cavity." EPL (Europhysics Letters) 115, no. 1 (2016): 14001. http://dx.doi.org/10.1209/0295-5075/115/14001.

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19

Getino, Juan, and Jose M. Ferrandiz. "Canonical treatment of dissipative forces between Earth mantle and core." Symposium - International Astronomical Union 172 (1996): 233–38. http://dx.doi.org/10.1017/s0074180900127445.

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Dissipative effects arising from the core–mantle interaction are treated in a Hamiltonian framework, using a simple model. Analytical solutions are obtained for free and forced motions. The first show the persistence or damping of the different components. The latter, frequency dependent changes of amplitude and phase. Preliminary numerical values are in acceptable agreement with observational data.

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20

Medeiros, Liliana R. A. "Meiofauna de praia arenosa da Ilha Anchieta, São Paulo: I. fatores físicos." Boletim do Instituto Oceanográfico 40, no. 1-2 (1992): 27–38. http://dx.doi.org/10.1590/s0373-55241992000100003.

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Parâmetros ambientais que influenciam a distribuição de populações do meiobentos litorâneo foram estudados em uma praia arenosa moderadamente exposta, localizada na Ilha Anchieta (23º32'S - 45º04'W), Brasil. Areias média a grossa, probremente selecionadas, com valores baixos de porosidade, teor de água e saturação ocorreram principalmente na porção superior da praia, de declive acentuado. Areias muito finas, bem selecionadas, com os mais altos valores de porosidade, teor de água e saturação, e menor teor de matéria orgânica, estiveram na porção inferior da praia, de declive suave. Os domínios refletivo e dissipativo puderam ser reconhecidos. No primeiro os sedimentos, mais grosseiros, podem ser, em parte, relictuais; os poros, mais amplos, são adequados à vida intersticial; o hidrodinamismo, mais brando, provavelmente condiciona maior estabilidade relativa e maior isolamento do sistema marinho adjacente. Neste domínio, as temperaturas do estrato superficial do sedimento podem alcançar valores altos. O domínio dissipativo, aqui só parcialmente amostrado, tem areias finas bem selecionadas sujeitas a forças hidrodinámicas mais vigorosas; as temperaturas tendem a apresentar valores menos extremos e mais uniformes.

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21

Vishik, M. I., and V. V. Chepyzhov. "Attractors of dissipative hyperbolic equations with singularly oscillating external forces." Mathematical Notes 79, no. 3-4 (2006): 483–504. http://dx.doi.org/10.1007/s11006-006-0054-2.

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22

Likhachev, A. A., C. Seguı́, and E. Cesari. "Non-Chemical Potentials and Dissipative Forces in Thermoelastic Martensitic Transformation." Scripta Materialia 38, no. 11 (1998): 1635–41. http://dx.doi.org/10.1016/s1359-6462(98)00096-7.

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23

Ali, Ahmad, Sheraz Yaqub, Muhammad Usman, et al. "Motion planning for a planar mechanical system with dissipative forces." Robotics and Autonomous Systems 107 (September 2018): 129–44. http://dx.doi.org/10.1016/j.robot.2018.06.002.

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24

Colmenares, Pedro J., and Roberto Rousse. "Effective boundary forces for several geometries in dissipative particle dynamics." Physica A: Statistical Mechanics and its Applications 367 (July 2006): 93–105. http://dx.doi.org/10.1016/j.physa.2005.11.025.

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25

Démery, V., and D. S. Dean. "Drag forces on inclusions in classical fields with dissipative dynamics." European Physical Journal E 32, no. 4 (2010): 377–90. http://dx.doi.org/10.1140/epje/i2010-10640-1.

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26

Spinella, I., and E. Dragoni. "Design equations for binary shape memory actuators under dissipative forces." Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 223, no. 3 (2008): 531–43. http://dx.doi.org/10.1243/09544062jmes1232.

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An analytical procedure to design binary shape memory actuators is described. A generic actuator is considered where a cursor is moved against dissipative forces using an elastic system containing a primary shape memory spring and a bias (backup) element. Three typical cases are analysed and differentiated in the way the bias force is applied to the primary shape memory spring, using a constant force, a conventional spring, or a second shape memory spring. Dimensionless, closed-form relationships are developed, which form the basis of a step-by-step procedure for an optimal design of the whole actuator (primary active spring and bias element). Specific formulas regarding the detailed design of the shape memory elements of the actuator in the form of straight wires and wire helical springs are also presented.

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27

Kuhn, Charlotte, Richard Lohkamp, Ralf Müller, Frank Schneider, and Jan C. Aurich. "Strategies for the Computation of Configurational Forces in Dissipative Media." PAMM 14, no. 1 (2014): 171–72. http://dx.doi.org/10.1002/pamm.201410073.

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28

Li, J. "On the stability of dissipative mechanical systems with circulatory forces." Zeitschrift für angewandte Mathematik und Physik 48, no. 1 (1997): 161–64. http://dx.doi.org/10.1007/pl00001465.

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29

de Icaza-Herrera, M., and V. M. Castaño. "Generalized Lagrangian of the parametric Foucault pendulum with dissipative forces." Acta Mechanica 218, no. 1-2 (2010): 45–64. http://dx.doi.org/10.1007/s00707-010-0392-8.

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30

Veskovic, Miroslav, and Vukman Covic. "On the instability of equilibrium of a mechanical system with nonconservative forces." Theoretical and Applied Mechanics 31, no. 3-4 (2004): 411–24. http://dx.doi.org/10.2298/tam0404411v.

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In this paper the stability of equilibrium of nonholonomic systems, on which dissipative and nonconservative positional forces act, is considered. We have proved the theorems on the instability of equilibrium under the assumptions that: the kinetic energy, the Rayleigh?s dissipation function and the positional forces are infinitely differentiable functions; the projection of the positional force component which represents the first nontrivial form of Maclaurin?s series of that positional force to the plane, which is normal to the vectors of nonholonomic constraints in the equilibrium position, is central and repulsive (with its centre of action in the equilibrium position). The suggested theorems are generalization of the results from [V.V. Kozlov, Prikl. Math. Mekh. (PMM), T58, V5, (1994), 31-36] and [M.M. Veskovic, Theoretical and Applied Mechanics, 24, (1998), 139-154]. The result obtained is analogous to the result from [D.R. Merkin, Introduction to theory of the stability of motion, Nauka, Moscow (1987)], which refers to the impossibility of equilibrium stabilization in a holonomic conservative system by dissipative and nonconservative positional forces in case when the potential energy in the equilibrium position has the maximum. The proving technique will be similar to that used in the paper [V.V. Kozlov, Prikl. Math. Mekh. (PMM), T58, V5, (1994), 31-36]. .

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31

Filipovic, N., S. Haber, M. Kojic, and A. Tsuda. "Dissipative particle dynamics simulation of flow generated by two rotating concentric cylinders: II. Lateral dissipative and random forces." Journal of Physics D: Applied Physics 41, no. 3 (2008): 035504. http://dx.doi.org/10.1088/0022-3727/41/3/035504.

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32

Likhachev, O. A., and Yu M. Koval. "Thermoelastic Behaviour, Hysteresis, and Dissipative Forces in Thermodynamics of Martensitic Transformations." Uspehi Fiziki Metallov 16, no. 1 (2015): 1–22. http://dx.doi.org/10.15407/ufm.16.01.001.

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33

Gotsmann, B., C. Seidel, B. Anczykowski, and H. Fuchs. "Conservative and dissipative tip-sample interaction forces probed with dynamic AFM." Physical Review B 60, no. 15 (1999): 11051–61. http://dx.doi.org/10.1103/physrevb.60.11051.

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34

Crampin, M., T. Mestdag, and W. Sarlet. "On the generalized Helmholtz conditions for Lagrangian systems with dissipative forces." ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik 90, no. 6 (2010): 502–8. http://dx.doi.org/10.1002/zamm.200900327.

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35

di Prisco, Claudio, and Mauro Vecchiotti. "Design Charts for Evaluating Impact Forces on Dissipative Granular Soil Cushions." Journal of Geotechnical and Geoenvironmental Engineering 136, no. 11 (2010): 1529–41. http://dx.doi.org/10.1061/(asce)gt.1943-5606.0000363.

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36

Amelkin, N. I., and V. V. Kholoshchak. "Steady rotations of a satellite with internal elastic and dissipative forces." Journal of Applied Mathematics and Mechanics 81, no. 6 (2017): 431–41. http://dx.doi.org/10.1016/j.jappmathmech.2018.03.011.

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37

UKAI, SEIJI, TONG YANG, and HUIJIANG ZHAO. "GLOBAL SOLUTIONS TO THE BOLTZMANN EQUATION WITH EXTERNAL FORCES." Analysis and Applications 03, no. 02 (2005): 157–93. http://dx.doi.org/10.1142/s0219530505000522.

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For the Boltzmann equation with an external potential force depending only on the space variables, there is a family of stationary solutions, which are local Maxwellians with space dependent density, zero velocity and constant temperature. In this paper, we will study the nonlinear stability of these stationary solutions by using the energy method. The analysis combines the analytic techniques used for the conservation laws using the fluid-type system derived from the Boltzmann equation (cf. [14]) and the dissipative effects on the fluid and non-fluid components of the Boltzmann equation through the celebrated H-theorem. To our knowledge, this is the first result on the global classical solutions to the Boltzmann equation with external force and non-trivial large time behavior in the whole space.

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38

LAWANDE, S. V., and P. V. PANAT. "EFFECT OF PHASE FLUCTUATIONS OF LASER ON OPTICAL FORCES IN A TWO-LEVEL ATOM." Modern Physics Letters B 14, no. 17n18 (2000): 631–37. http://dx.doi.org/10.1142/s0217984900000835.

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An effect of phase fluctuations of a driving laser field on dissipative and dipolar forces of two-level atom is considered. The phase fluctuations are treated by a phase diffusion model where phase fluctuations follow Wiener–Levy process. An exact master equation for the relevant density operator is obtained and solved in the steady state. Optical forces are calculated. The effect of phase fluctuations on angular momentum imparted by a Laguerre–Gaussian beam and an ideal Bessel beam to the atom is investigated.

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39

Zhuk, Yaroslav, and Igor Senchenkov. "MONOHARMONIC APPROACH TO INVESTIGATION OF THE VIBRATIONS AND SELF‐HEATING OF THIN‐WALL INELASTIC MEMBERS." JOURNAL OF CIVIL ENGINEERING AND MANAGEMENT 15, no. 1 (2009): 67–75. http://dx.doi.org/10.3846/1392-3730.2009.15.67-75.

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An approximate formulation is given to a dynamic coupled thermo‐mechanical problem for physically nonlinear inelastic thin‐walled structural elements within the framework of a geometrically linear theory and the Kirchhoff‐Love hypotheses. A simplified model is used to describe the vibrations and dissipative heating of inhomogeneous physically non‐linear bodies under harmonic loading. Unsteady vibration self‐heating problem is solved. The dissipative function obtained from the solution for steady‐state vibrations is used to simulate internal heat sources. For the partial case of forced vibrations of a beam, the amplitude‐frequency characteristics of the field quantities are studied within a wide frequency range. The temperature characteristics for the first and second resonance modes are compared. Santrauka Naudojant geometrinio tiesiškumo ir Kirchhofo ir Love hipotezes, pateikiama apytikslė jungtinė dinamikos ir disipacinės šilumos uždavinio formuluotė fiziškai netiesiniams konstrukciniams elementams. Apytikslis modelis taikomas harmonine apkrova veikiamo nehomogeninio fiziškai netiesinio kūno svyravimams ir išskiriamai šilumai aprašyti. Sprendžiamas neharmoninių svyravimų disipacinės šilumos uždavinys. Pasitelkus harmoninių svyravimų uždavinį, gaunama disipacijos funkcija, kuri naudojama vidinės šilumos šaltiniams modeliuoti. Esant priverstiniams sijos svyravimams, plačiai nagrinėjamos amplitudės ir dažnio charakteristikos. Lyginamos temperatūros charakteristikos, atitinkančios pirmojo ir antrojo rezonanso formas.

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40

Corral, Eduardo, M. J. Gómez García, Cristina Castejon, Jesús Meneses, and Raúl Gismeros. "Dynamic Modeling of the Dissipative Contact and Friction Forces of a Passive Biped-Walking Robot." Applied Sciences 10, no. 7 (2020): 2342. http://dx.doi.org/10.3390/app10072342.

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This work presents and discusses a general approach for the dynamic modeling and analysis of a passive biped walking robot, with a particular focus on the feet-ground contact interaction. The main purpose of this investigation is to address the supporting foot slippage and viscoelastic dissipative contact forces of the biped robot-walking model and to develop its dynamics equations for simple and double support phases. For this investigation, special attention has been given to the detection of the contact/impact between the legs of the biped and the ground. The results have been obtained with multibody system dynamics applying forward dynamics. This study aims at examining and comparing several force models dealing with different approaches in the context of multibody system dynamics. The normal contact forces developed during the dynamic walking of the robot are evaluated using several models: Hertz, Kelvin-Voight, Hunt and Crossley, Lankarani and Nikravesh, and Flores. Thanks to this comparison, it was shown that the normal force that works best for this model is the dissipative Nonlinear Flores Contact Force Model (hysteresis damping parameter - energy dissipation). Likewise, the friction contact/impact problem is solved using the Bengisu equations. The numerical results reveal that the stable periodic solutions are robust. Integrators and resolution methods are also purchased, in order to obtain the most efficient ones for this model.

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41

Agafonov, S. A. "On the stability of a circular system subjected to nonlinear dissipative forces." Mechanics of Solids 44, no. 3 (2009): 366–71. http://dx.doi.org/10.3103/s0025654409030054.

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Liang, Shoudan, David Medich, Daniel M. Czajkowsky, Sitong Sheng, Jian-Yang Yuan, and Zhifeng Shao. "Thermal noise reduction of mechanical oscillators by actively controlled external dissipative forces." Ultramicroscopy 84, no. 1-2 (2000): 119–25. http://dx.doi.org/10.1016/s0304-3991(00)00039-5.

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Cortes, J., S. Martinez, and F. Bullo. "On nonlinear controllability and series expansions for Lagrangian systems with dissipative forces." IEEE Transactions on Automatic Control 47, no. 8 (2002): 1396–401. http://dx.doi.org/10.1109/tac.2002.801187.

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Migliaccio, Christopher P., and Suresh V. Garimella. "Dissipative Forces in the Electrowetted Cassie-Wenzel Transition on Hydrophobic Rough Surfaces." Nanoscale and Microscale Thermophysical Engineering 16, no. 3 (2012): 154–64. http://dx.doi.org/10.1080/15567265.2012.683935.

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Nayak, N. "Effect of dissipative forces on the theory of a single-atom microlaser." Optics Letters 24, no. 1 (1999): 13. http://dx.doi.org/10.1364/ol.24.000013.

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Bocci, Alessio, Giovanni Mingari Scarpello, and Daniele Ritelli. "Hypergeometric solutions to a three dimensional dissipative oscillator driven by aperiodic forces." Applied Mathematical Modelling 53 (January 2018): 71–82. http://dx.doi.org/10.1016/j.apm.2017.07.055.

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Koshlyakov, V. N., and V. L. Makarov. "The stability of non-conservative systems with singular matrices of dissipative forces." Journal of Applied Mathematics and Mechanics 68, no. 6 (2004): 809–15. http://dx.doi.org/10.1016/j.jappmathmech.2004.11.002.

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Zimmermann, Dominik, and Christian Miehe. "Material Forces in Standard Dissipative Solids obtained from an Incremental Variational Formulation." PAMM 4, no. 1 (2004): 274–75. http://dx.doi.org/10.1002/pamm.200410118.

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Spaggiari, Andrea, Igor Spinella, and Eugenio Dragoni. "Design equations for binary shape memory actuators under arbitrary external forces." Journal of Intelligent Material Systems and Structures 24, no. 6 (2012): 682–94. http://dx.doi.org/10.1177/1045389x12444491.

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This article presents the design equations for an on–off shape memory alloy actuator working against an external system of arbitrary constant forces. A binary shape memory alloy actuator is considered where a cursor is moved against both conservative and dissipative forces, which may be different during the push or pull phase. Three cases are analysed and differentiated in the way the bias force is applied to the primary shape memory alloy spring: using a constant force, a conventional spring or a second shape memory alloy spring. Closed-form dimensionless design equations are developed, which form the basis of a step-by-step procedure for an optimal design of the whole actuator.

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Gama Goicochea, A., M. A. Balderas Altamirano, J. D. Hernández, and E. Pérez. "The role of the dissipative and random forces in the calculation of the pressure of simple fluids with dissipative particle dynamics." Computer Physics Communications 188 (March 2015): 76–81. http://dx.doi.org/10.1016/j.cpc.2014.11.006.

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