Academic literature on the topic 'Mechanical equilibrium'

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Journal articles on the topic "Mechanical equilibrium"

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Roh, Heui-Seol. "Work transfer theory for mechanical non-equilibrium, quasi-equilibrium, and equilibrium." International Journal of Heat and Mass Transfer 86 (July 2015): 334–50. http://dx.doi.org/10.1016/j.ijheatmasstransfer.2015.01.113.

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Bustamante, Carlos. "Unfolding single RNA molecules: bridging the gap between equilibrium and non-equilibrium statistical thermodynamics." Quarterly Reviews of Biophysics 38, no. 4 (November 2005): 291–301. http://dx.doi.org/10.1017/s0033583506004239.

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During the last 15 years, scientists have developed methods that permit the direct mechanical manipulation of individual molecules. Using this approach, they have begun to investigate the effect of force and torque in chemical and biochemical reactions. These studies span from the study of the mechanical properties of macromolecules, to the characterization of molecular motors, to the mechanical unfolding of individual proteins and RNA. Here I present a review of some of our most recent results using mechanical force to unfold individual molecules of RNA. These studies make it possible to follow in real time the trajectory of each molecule as it unfolds and characterize the various intermediates of the reaction. Moreover, if the process takes place reversibly it is possible to extract both kinetic and thermodynamic information from these experiments at the same time that we characterize the forces that maintain the three-dimensional structure of the molecule in solution. These studies bring us closer to the biological unfolding processes in the cell as they simulate in vitro, the mechanical unfolding of RNAs carried out in the cell by helicases. If the unfolding process occurs irreversibly, I show here that single-molecule experiments can still provide equilibrium, thermodynamic information from non-equilibrium data by using recently discovered fluctuation theorems. Such theorems represent a bridge between equilibrium and non-equilibrium statistical mechanics. In fact, first derived in 1997, the first experimental demonstration of the validity of fluctuation theorems was obtained by unfolding mechanically a single molecule of RNA. It is perhaps a sign of the times that important physical results are these days used to extract information about biological systems and that biological systems are being used to test and confirm fundamental new laws in physics.
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Rothen, François, and Piotr Pierański. "Mechanical equilibrium of conformal crystals." Physical Review E 53, no. 3 (March 1, 1996): 2828–42. http://dx.doi.org/10.1103/physreve.53.2828.

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Boyd, J. N., and P. N. Raychowdhury. "An elegant experiment in mechanical equilibrium." Physics Education 20, no. 5 (September 1, 1985): 248–49. http://dx.doi.org/10.1088/0031-9120/20/5/011.

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ZHANG, SHIMIN. "THE STABILITY OF LIQUID EVAPORATION EQUILIBRIUM." Surface Review and Letters 12, no. 01 (February 2005): 115–21. http://dx.doi.org/10.1142/s0218625x05006846.

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For the evaporation of the pure liquid under the condition of constant temperature and constant external pressure, the phase equilibrium of the liquid vapor in the bubble and the liquid outside the bubble is always a kind of stable equilibrium whether there is air or not in the bubble. If there is no air in the bubble, the bubble and liquid cannot coexist in the mechanical equilibrium when the vapor pressure of the liquid in the bubble is less than or equal to the external pressure; the bubble and liquid can coexist in an unstable equilibrium of mechanics when the vapor pressure of the liquid is greater than the external pressure. If there is air in the bubble, the bubble and liquid can coexist in a stable equilibrium of mechanics when the vapor pressure of the liquid is less than or equal to the external pressure; the bubble and liquid can coexist in a stable and an unstable equilibrium of mechanics when the vapor pressure of the liquid is greater than the external pressure and less than a certain pressure pm; the bubble and liquid cannot coexist in the mechanical equilibrium when the vapor pressure of the liquid is equal to or greater than pm.
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Devenport, William J., and K. Todd Lowe. "Equilibrium and non-equilibrium turbulent boundary layers." Progress in Aerospace Sciences 131 (May 2022): 100807. http://dx.doi.org/10.1016/j.paerosci.2022.100807.

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Kocherginsky, Nikolai, and Martin Gruebele. "Mechanical approach to chemical transport." Proceedings of the National Academy of Sciences 113, no. 40 (September 19, 2016): 11116–21. http://dx.doi.org/10.1073/pnas.1600866113.

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Nonequilibrium thermodynamics describes the rates of transport phenomena with the aid of various thermodynamic forces, but often the phenomenological transport coefficients are not known, and the description is not easily connected with equilibrium relations. We present a simple and intuitive model to address these issues. Our model is based on Lagrangian dynamics for chemical systems with dissipation, so one may think of the model as physicochemical mechanics. Using one main equation, the model allows a systematic derivation of all transport and equilibrium equations, subject to the limitation that heat generated or absorbed in the system must be small for the model to be valid. A table with all major examples of transport and equilibrium processes described using physicochemical mechanics is given. In equilibrium, physicochemical mechanics reduces to standard thermodynamics and the Gibbs–Duhem relation, and we show that the First and Second Laws of thermodynamics are satisfied for our system plus bath model. Out of equilibrium, our model provides relationships between transport coefficients and describes system evolution in the presence of several simultaneous external fields. The model also leads to an extension of the Onsager–Casimir reciprocal relations for properties simultaneously transported by many components.
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Nakae, H., and Y. Koizumi. "Equilibrium and non-equilibrium wetting." Materials Science and Engineering: A 495, no. 1-2 (November 2008): 113–18. http://dx.doi.org/10.1016/j.msea.2007.10.097.

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Gorobey, N. N., and A. S. Luk’yanenko. "Mechanical equilibrium of a heated anharmonic solid." Physics of the Solid State 57, no. 1 (January 2015): 96–99. http://dx.doi.org/10.1134/s1063783415010114.

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Zeng, Xiancheng, Hao Hu, Huan-Xiang Zhou, Piotr E. Marszalek, and Weitao Yang. "Equilibrium Sampling for Biomolecules under Mechanical Tension." Biophysical Journal 98, no. 4 (February 2010): 733–40. http://dx.doi.org/10.1016/j.bpj.2009.11.004.

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Dissertations / Theses on the topic "Mechanical equilibrium"

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Jung, Sunghoon. "Nanomechanics model for static equilibrium." Thesis, Monterey, Calif. : Springfield, Va. : Naval Postgraduate School ; Available from National Technical Information Service, 2002. http://library.nps.navy.mil/uhtbin/hyperion-image/02sep%5FJung.pdf.

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Ekoto, Isaac Wesley. "Supersonic turbulent boundary layers with periodic mechanical non-equilibrium." Texas A&M University, 2006. http://hdl.handle.net/1969.1/4709.

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Previous studies have shown that favorable pressure gradients reduce the turbulence levels and length scales in supersonic flow. Wall roughness has been shown to reduce the large-scales in wall bounded flow. Based on these previous observations new questions have been raised. The fundamental questions this dissertation addressed are: (1) What are the effects of wall topology with sharp versus blunt leading edges? and (2) Is it possible that a further reduction of turbulent scales can occur if surface roughness and favorable pressure gradients are combined? To answer these questions and to enhance the current experimental database, an experimental analysis was performed to provide high fidelity documentation of the mean and turbulent flow properties along with surface and flow visualizations of a high-speed ( 2.86 M = ), high Reynolds number (Re 60,000 q » ) supersonic turbulent boundary layer distorted by curvature-induced favorable pressure gradients and large-scale ( 300 s k + » ) uniform surface roughness. Nine models were tested at three separate locations. Three pressure gradient models strengths (a nominally zero, a weak, and a strong favorable pressure gradient) and three roughness topologies (aerodynamically smooth, square, and diamond shaped roughness elements) were used. Highly resolved planar measurements of mean and fluctuating velocity components were accomplished using particle image velocimetry. Stagnation pressure profiles were acquired with a traversing Pitot probe. Surface pressure distributions were characterized using pressure sensitive paint. Finally flow visualization was accomplished using schlieren photographs. Roughness topology had a significant effect on the boundary layer mean and turbulent properties due to shock boundary layer interactions. Favorable pressure gradients had the expected stabilizing effect on turbulent properties, but the improvements were less significant for models with surface roughness near the wall due to increased tendency towards flow separation. It was documented that proper roughness selection coupled with a sufficiently strong favorable pressure gradient produced regions of “negative” production in the transport of turbulent stress. This led to localized areas of significant turbulence stress reduction. With proper roughness selection and sufficient favorable pressure gradient strength, it is believed that localized relaminarization of the boundary layer is possible.
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Wang, Yi Jenny. "Equilibrium molecular dynamics study of heat conduction in octane." Thesis, Massachusetts Institute of Technology, 2015. http://hdl.handle.net/1721.1/97858.

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Thesis: S.M., Massachusetts Institute of Technology, Department of Mechanical Engineering, 2015.
Cataloged from PDF version of thesis.
Includes bibliographical references (pages 73-79).
Fluids are important components in heat transfer systems. Understanding heat conduction in liquids at the atomic level would allow better design of liquids with specific heat transfer properties. However, heat transfer in molecular chain liquids is a complex interplay between heat transfer within a molecule and between molecules. This thesis studies the contribution of each type of atomic interaction to the bulk heat transfer in liquid octane to further the understanding of thermal transport between and within chain molecules in a liquid. The Green-Kubo formula is used to calculate thermal conductivity of liquid octane from equilibrium molecular dynamics, and the total thermal conductivity is split into effective thermal conductivities for the different types of atomic interactions in the system. It is shown that the short carbon backbone of octane does not dominate thermal transport within the system. Instead, the thermal resistance within a molecule is about the same as the resistance between molecules.
by Yi Jenny Wang.
S.M.
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Ebadi, Alireza. "Transport of heat and momentum in non-equilibrium wall-bounded flows." Thesis, University of New Hampshire, 2017. http://pqdtopen.proquest.com/#viewpdf?dispub=10241615.

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Transport of momentum and heat in non-equilibrium wall-bounded flows is studied analytically and experimentally to better understand the underlying physics, transition dynamics, and appropriate flow scaling in non-equilibrium flows. Non-equilibrium flows, in which the mean flow time scales are comparable to turbulent flow time scales, do not exhibit universal behaviors and cannot be characterized only in terms of local parameters. Pressure gradients, fast transients and complex geometries are among the sources that can perturb a flow from an equilibrium state to a non-equilibrium state. Since all or some of these perturbation sources are present in many engineering application relevant flow systems and geophysical flows, understanding and predicting the non-equilibrium flow dynamics is essential to reliably analyze and control such flows.

Reynolds-averaged Navier-Stokes (RANS) simulations are extensively used to model and predict fluid transport across a wide range of disciplines. The shortcoming is that most turbulence models used in RANS simulations use almost exclusively wall-models based on equilibrium boundary layer behaviors, despite the fact that many basic assumptions required of equilibrium boundary layers are not satisfied in the majority of the flow systems in which RANS simulations are used. In particular, pressure gradients, dynamic walls, roughness, and large-scale flow obstacles produce boundary layers that are strongly non-equilibrium in nature. Often the prediction of RANS simulations in complex engineering systems (with perturbations that induce non-equilibrium flow behaviors) fail spectacularly primarily owing to the fact that the turbulence models do not incorporate the correct physics to accurately capture the transport behaviors in non-equilibrium boundary layers. These failures result in over-engineered and hence, less efficient designs. This lack of efficiency manifests in higher economic and environmental costs. The broad objective of this dissertation work is to develop analytical and experimental tools needed to better understand the underlying transport physics in non-equilibrium boundary layers.

The key scaling parameter in wall-bounded flows is the wall flux of momentum and heat. It follows that an accurate determination of the wall fluxes is essential to study the dynamics of non-equilibrium wall-bounded flows. As part of this dissertation research, an integral method to evaluate wall heat flux suitable for experimental data is developed. The method is exact and does not require any streamwise gradient measurements. The integral method is validated using simulation and experimental data. Complications owing to experimental limitations and measurement error in determining wall heat flux from the method are presented, and mitigating strategies are described. In addition to the ability to evaluate the wall heat flux, the method provides a means to connect transport properties at the wall to the mean flow dynamics.

The integral method is further developed to formulate a novel and robust validation technique of Reynolds-averaged Navier-Stokes (RANS) turbulence models. Validation of the turbulence models employed in RANS simulations is a critical part of model development and application. The integral based validation technique is used to evaluate the performance of two low-Reynolds-number and two high-Reynolds number RANS turbulence models of reciprocating channel flow, and results are compared to the so-called standard validation technique. While the standard validation technique indicates that the low-Reynolds-number models predict the wall heat flux well, the integral validation technique shows that the models do not accurately capture the correct physics of thermal transport in reciprocating channel flow. Moreover, it shows that the correct prediction of the wall heat flux by the models is owed to the serendipitous cancellation of model errors.

One of the identified failures of the RANS simulations of reciprocating channel flow is the inability to accurately predict the flow dynamics during the laminar-turbulence transition. The development of improved RANS turbulence models, therefore requires an improved understanding of the underlying laminar-turbulent transition mechanisms. As part of this dissertation work, the balance of the leading order terms in the phase-averaged mean momentum equation are used to study the transition mechanism in a reciprocating channel flow. It is concluded that the emergence of an internal layer in the late acceleration phase of the cycle triggers the flow to transition from a self-sustaining transitional regime to an intermittently turbulent regime. In the absence of this internal layer, the flow remains transitional throughout the cycle.

Lastly, since experimental studies of heat transfer in non-equilibrium wall-bounded flows are very limited, a unique experimental facility was developed to study non-equilibrium boundary layers with heat transfer. The facility consists of boundary layer wind tunnel that nominally measures 303×135 mm cross-section and 2.7m in length. A freestream heater and a thermal wall-plate are used to maintain the desired outer and inner thermal boundary conditions, respectively. A rotor-stator assembly is fabricated to generate a periodic pressure gradient used to produce pulsatile boundary layer flow. (Abstract shortened by ProQuest.)

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Kuo, Long-Sheng 1969. "Non-equilibrium energy transfer and phase change during intense picosecond laser-metal interactions." Thesis, Massachusetts Institute of Technology, 2001. http://hdl.handle.net/1721.1/34346.

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Thesis (S.M.)--Massachusetts Institute of Technology, Dept. of Mechanical Engineering, 2001.
Includes bibliographical references (leaves 55-57).
Laser interactions with metals involve absorption of photon energy by electrons, energy coupling between electrons and the lattice, and energy transport by diffusion of electrons and lattice vibrations. During picosecond laser irradiation of metal films, electrons and the lattice are not in thermal equilibrium. On the other hand, rapid laser heating produces a large degree of superheating and undercooling during melting and solidification. First, this work investigates experimentally non-equilibrium heating processes during intense picosecond laser heating of metal films. Results show excellent agreement with predictions of the two-step radiation heating model. Second, this work develops a general model to characterize both non-equilibrium energy deposition and phase change processes. The predictions show that the non-equilibrium heating processes significantly increase the laser melting threshold, enlarge the thermal-affected region, reduce the lattice temperature rise, prolong the phase change duration, and reduce the solidification speed. These results are important for materials processing using ultrashort pulsed lasers.
by Long-Sheng Kuo.
S.M.
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Laradji, Mohamed. "Ternary mixtures of water, oil and surfactants : equilibrium and dynamics." Thesis, McGill University, 1992. http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=39483.

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The equilibrium phase behaviour of ternary mixtures of water, oil and surfactants is examined using both a lattice-gas model and a Ginzburg-Landau model. The lattice model is based on the Blume-Capel model with additional orientational degrees of freedom for surfactants, and the Ginzburg-Landau model is based on two local scalar fields. When the concentrations of water and oil are equal the following phases are observed: a water and oil rich phase, a lamellar phase, and a disordered phase which is divided into an ordinary disordered fluid and a microemulsion region. In the lattice model, a square phase is also observed. The effects of fluctuations on the lattice model is studied via Monte-Carlo simulations and by the Langevin approach in the Ginzburg-Landau model. In both cases, we found that in the vicinity of the water/oil coexistence region, the lamellar phase becomes unstable against the microemulsion.
Furthermore, we have studied the effects of surfactants on the dynamics of phase separation of two immiscible fluids, and found a drastic alteration in the kinetics. In particular, we found that surfactants slow down the growth to a non-algebraic one leading eventually to a microphase separation.
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Karlsson, Jens Olof Mattias. "Non-equilibrium phase transformations of intracellular water : applications to the cryopreservation of living cells." Thesis, Massachusetts Institute of Technology, 1994. http://hdl.handle.net/1721.1/11623.

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Courtland, Hayden-William C. "Equilibrium mechanical properties of two noncollagenous cartilages in the sea lamprey, Petromyzon marinus." Thesis, National Library of Canada = Bibliothèque nationale du Canada, 2001. http://www.collectionscanada.ca/obj/s4/f2/dsk3/ftp04/MQ63256.pdf.

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O'Neill, Maura Rose. "Digital Rotating Unbalance Identification and Parametric Determination of Counterbalance Placement for Predictable Dynamic Behavior." The Ohio State University, 2017. http://rave.ohiolink.edu/etdc/view?acc_num=osu1500563587083873.

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Apte, Pankaj A. "Phase equilibria and nucleation in condensed phases a statistical mechanical study /." Columbus, Ohio : Ohio State University, 2005. http://rave.ohiolink.edu/etdc/view?acc%5Fnum=osu1135876018.

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Books on the topic "Mechanical equilibrium"

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Massimiliano, Lucchesi, ed. Masonry constructions: Mechanical models and numerical applications. Berlin: Springer, 2008.

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Capecchi, Danilo. History of Virtual Work Laws: A History of Mechanics Prospective. Milano: Springer Milan, 2012.

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Yield design. London: ISTE, 2013.

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H, Oosthuizen P., Kroeger Peter G, American Society of Mechanical Engineers. Heat Transfer Division., and International Mechanical Engineering Congress and Exposition (1994 : Chicago, Ill.), eds. Fundamentals of phase change: Sublimation and solidification : presented at 1994 International Mechanical Engineering Congress and Exposition, Chicago, Illinois, November 6-11, 1994. New York, N.Y: American Society of Mechanical Engineers, 1994.

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S, Habib I., Dallman R. J, and American Society of Mechanical Engineers. Heat Transfer Division., eds. Heat transfer with phase change: Presented at the Winter Annual Meeting of the American Society of Mechanical Engineers, December 10-15, 1989. New York, N.Y: American Society of Mechanical Engineers, 1989.

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American Society of Mechanical Engineers. Winter Meeting. Fundamentals of Phase Change: Freezing, Melting, and Sublimation--1992 : presented at the Winter Annual Meeting of the American Society of Mechanical Engineers, Anaheim, California, November 8-13, 1992. New York, N.Y: American Society of Mechanical Engineers, 1992.

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S, Kirkaldy J., Hawbolt E. B, Yue S, and Conference of Metallurgists (34th : 1995 : Vancouver, B.C.), eds. Phase transformations during the thermal/mechanical processing of steel: Proceedings of the International Symposium on Phase Transformations During the Thermal/Mechanical Processing of Steel - honouring Professor Jack Kirkaldy, Vancouver, British Columbia, August 20-24, 1995. Montreal: Canadian Institute of Mining, Metallurgy and Petroleum, 1995.

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Whitehouse, Patricia. Cosas que se balancean. Vero Beach, FL: Rourke, 2007.

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Equilibrium statistical mechanics. New York: Wiley, 2000.

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Classical equilibrium statistical mechanics. Oxford: Clarendon Press, 1988.

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Book chapters on the topic "Mechanical equilibrium"

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Whitman, Alan M. "Equilibrium." In Mechanical Engineering Series, 47–88. Cham: Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-25221-2_2.

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Rapcsák, Tamás. "Mechanical Equilibrium and Equilibrium Systems." In Nonconvex Optimization and Its Applications, 379–99. Boston, MA: Springer US, 2003. http://dx.doi.org/10.1007/978-1-4613-0239-1_21.

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Gans, Roger F. "State Space, Equilibrium, Linearization, and Stability." In Mechanical Systems, 201–56. Cham: Springer International Publishing, 2014. http://dx.doi.org/10.1007/978-3-319-08371-1_6.

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Sih, G. C. "Non-Equilibrium Thermal/Mechanical Behaviour." In Recent Developments in Micromechanics, 3–17. Berlin, Heidelberg: Springer Berlin Heidelberg, 1991. http://dx.doi.org/10.1007/978-3-642-84332-7_1.

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García de Jalón, Javier, and Eduardo Bayo. "Static Equilibrium Position and Inverse Dynamics." In Mechanical Engineering Series, 201–42. New York, NY: Springer New York, 1994. http://dx.doi.org/10.1007/978-1-4612-2600-0_6.

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Maeder, André. "The Mechanical Equilibrium of Rotating Stars." In Physics, Formation and Evolution of Rotating Stars, 19–34. Berlin, Heidelberg: Springer Berlin Heidelberg, 2009. http://dx.doi.org/10.1007/978-3-540-76949-1_2.

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Lucchesi, Massimiliano, Nicola Zani, Cristina Padovani, and Giuseppe Pasquinelli. "Equilibrium of Masonry Bodies." In Masonry Constructions: Mechanical Models and Numerical Applications, 51–57. Berlin, Heidelberg: Springer Berlin Heidelberg, 2008. http://dx.doi.org/10.1007/978-3-540-79111-9_3.

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Pelliciari, Matteo, and Angelo Marcello Tarantino. "Equilibrium of the von Mises Truss in Nonlinear Elasticity." In Lecture Notes in Mechanical Engineering, 1743–52. Cham: Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-41057-5_140.

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Stricker, Laura, and Lamberto Rondoni. "Microscopic Models for Vibrations in Mechanical Systems Under Equilibrium and Non-equilibrium Conditions." In Understanding Complex Systems, 3–30. Cham: Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-17037-4_1.

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Routray, Anupama, Aditya Abinash, M. K. Padhy, and Sudhansu S. Sahoo. "Coal Water Slurry Flow in Pipelines Using Homogeneous Equilibrium Model." In Lecture Notes in Mechanical Engineering, 203–12. Singapore: Springer Singapore, 2020. http://dx.doi.org/10.1007/978-981-15-7779-6_18.

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Conference papers on the topic "Mechanical equilibrium"

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Gaggioli, Richard A. "Streamlined Modeling for Reaction Equilibrium." In ASME 2006 International Mechanical Engineering Congress and Exposition. ASMEDC, 2006. http://dx.doi.org/10.1115/imece2006-13124.

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Traditionally, the determination of composition at chemical equilibrium has been carried out using the concept of the "equilibrium constant." Though awkward, the use of equilibrium "constant" is straightforward when the equilibrium temperature and pressure are known. However, even with modern software (such as Stanjan [1]), the usage becomes very burdensome in cases such as: (a) constant volume combustion, with T known, (b) adiabatic combustion, at constant pressure (or volume), when the final temperature and density (or pressure) are unknowns, (c) there are more than one independent reactions, (d) non-isothermal combustion with heat transfer, (e) when ideal-gas or ideal solution assumptions are not acceptable Furthermore, even in the more simple cases, becoming engrossed with the mechanics of applying the equilibrium constant (and other relevant principles), students and practitioners often lose sight of the fundamentals that are being applied. In this paper, via several examples, it is illustrated how to directly employ the fundamental principles - element, mass, volume, energy and entropy balances, along with the property relations - and avoid the use of equilibrium constants. Reaction equilibrium conditions - composition, temperature, pressure, density - are determined in a straightforward, easy manner. The key to this improved and easy approach is the accessibility of equation solving software that includes property relations for gases and liquids. In particular, in the present work, EES [2] is employed.
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Xing, Siyuan, and Albert C. J. Luo. "Controlling the Dynamics of a Quadratic Oscillator Using Infinite-Equilibrium." In ASME 2021 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2021. http://dx.doi.org/10.1115/imece2021-71998.

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Abstract Dynamical systems with infinite-equilibria have been of great interest in recent years. The infinite-equilibrium can establish a flow barrier in phase space for control applications. For such a reason, a new method is proposed for controlling the dynamics of a quadratic oscillator by constructing an infinite-equilibrium through a feedback law. The local and global analysis of the unperturbed control system is presented, and the behaviors of the control system under disturbance is studied numerically. With the knowledge of disturbance, the control system can achieve bounded-input-bounded-output stability for any disturbance. Without the knowledge of disturbance, the control system can drive the flow to an equilibrium only for weak disturbance.
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Zhong, Shuxin, Yu-Xuan Qiu, Rukhsana Ruby, Lu Wang, and Kaishun Wu. "SIDE: Semi-Distributed Mechanical Equilibrium Based UAV Deployment." In 2018 IEEE 26th International Conference on Network Protocols (ICNP). IEEE, 2018. http://dx.doi.org/10.1109/icnp.2018.00043.

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Maithripala, D. H. S., B. D. Kawade, I. P. M. Wickramasinghe, J. M. Berg, and W. P. Dayawansa. "Equilibrium Structure of a 1-DOF Electrostatic MEMS Model With Parasitics." In ASME 2007 International Mechanical Engineering Congress and Exposition. ASMEDC, 2007. http://dx.doi.org/10.1115/imece2007-42751.

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Feedback control of electrostatic microelectromechanical systems (MEMS) is significantly complicated by the presence of parasitic surfaces. This note considers the stabilization of a one-degree-of-freedom (1-DOF) piston actuator with capacitively-coupled parasitics. Previous work by the authors has shown how, in the absence of parasitics, any feasible equilibrium point of this system may be made globally asymptotically stable using passivity-based control. However if parasitics are present this nominal closed-loop system may be destabilized by capacitive coupling, through a phenomenon called charge pull-in. This note shows how the nominal controller formulation may be modified to eliminate multiple equilibria. If the movable electrode is completely screened from the parasitic electrode by the control electrode, the unique equilibrium is globally asymptotically stable. Otherwise, though the desired equilibrium is still unique, its region of attraction may be finite and the equilibrium may lose stability through a Hopf bifurcation.
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Li, Li. "Equilibrium Point and Knee Joint Modeling." In ASME 1999 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 1999. http://dx.doi.org/10.1115/imece1999-0496.

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Abstract Human running behavior has been modeled as bouncing ball. In this regard, mass-spring model has been employed to study the mechanical characteristics of lower extremity during running. The mechanical adaptation of the lower extremity to the environment during running presents significant considerations in the understanding of the mechanism that governing the mass-spring system. A mass-spring model with a changing equilibrium point is developed in this study. The model predicts that the knee joint will experience three different stages during running stance phase. Each stage (phase) is associated with different joint stiffness, which is constant with in the each phase. The model further suggests that this unique stiffness could be estimated by using kinematics of knee joint only without kinetic measures. This model provides information that improves our understanding of knee joint mechanical behavior and neuromuscular control mechanism. It also has important clinical applications.
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Kim, D., A. Raj, L. Zhu, R. I. Masel, and M. A. Shannon. "Non-equilibrium electrokinetic nanofluidic mixers." In 2008 IEEE 21st International Conference on Micro Electro Mechanical Systems. IEEE, 2008. http://dx.doi.org/10.1109/memsys.2008.4443735.

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Paolini, Christopher P., and Subrata Bhattacharjee. "An Object-Oriented Online Tool for Solving Generalized Chemical Equilibrium Problems." In ASME 2008 International Mechanical Engineering Congress and Exposition. ASMEDC, 2008. http://dx.doi.org/10.1115/imece2008-69210.

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Analysis of chemical equilibria is a topic covered in both undergraduate and graduate courses such as physical chemistry, chemical thermodynamics, and engineering thermodynamics. Manual calculation of problems that require a student to solve for species concentrations, partial pressures, or mole fractions usually involve the method of equilibrium constants. Exercises in homework assignments or in-class examinations are frequently limited to reactions that involve no more than four gas phase species as the resulting arithmetic required to solve for the unknown quantity becomes too cumbersome and prone to error. Students who invest the requisite time in manually solving complex equilibrium problems in homework assignments need a tool to verify their answer. A Java web application (“applet”) has been developed to assist engineering students who encounter general multiphase equilibrium problems involving many species. In addition to students, educators and professional researchers will benefit from a user friendly and free to use software package that can numerically compute equilibrium distributions for arbitrary reactions. The applet we present in this work can be used to analyze complex reactions involving twenty or more species and one such reaction, the combustion of isooctane and air, is presented as an example.
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Kaganovich, Boris M., Alexandre V. Keiko, Vitalii A. Shamansky, and Igor A. Shirkalin. "On the Area of Equilibrium Thermodynamics Application." In ASME 2004 International Mechanical Engineering Congress and Exposition. ASMEDC, 2004. http://dx.doi.org/10.1115/imece2004-60775.

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The paper addresses the applicability of equilibrium thermodynamics models and the expediency of their employment for analysis of non-equilibrium systems, first of all, when solving the applied computational problems of large dimensionality. A model of extreme intermediate states (MEIS) is suggested for such an analysis. The methods to include the constraints on chemical kinetics and transfer processes are discussed. These constraints are to be presented in a thermodynamic form, i.e. without time variable. The efficiency of the approach is illustrated with the examples of determining the maximum possible nitrogen oxide concentrations in combustion chambers of gas turbines and modeling the non-stationary flow distribution in multi-loop hydraulic networks.
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Raman, Ashok, D. G. Walker, and T. S. Fisher. "Non-Equilibrium Thermal Effects in Power Transistors." In ASME 2001 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2001. http://dx.doi.org/10.1115/imece2001/htd-24402.

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Abstract The present work considers electro-thermal simulation of LDMOS devices and associated non-equilibrium effects. Simulations have been performed on three kinds of LDMOS i.e. bulk Si, partial SOI and full SOI. From the analysis, the extent of thermal non-equilibrium is determined from phonon temperature contours and electron energies in each case. The results indicate that, under similar operating conditions, non-equilibrium is more significant in the case of full SOI devices. Time development of acoustic phonon and lattice temperatures, obtained using two different heat source terms, was studied. This study provided insight into the difference between localized device heating in the electrically active region. The variation of optical and acoustic phonon temperatures with time is presented, and is used to identify time scales where thermal non-equilibrium would be significant.
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Sultan, Cornel, and Robert E. Skelton. "Linear Parametric Models of Tensegrity Structures." In ASME 2000 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2000. http://dx.doi.org/10.1115/imece2000-1704.

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Abstract In this paper we derive the linear equations of motion for tensegrity structures around arbitrary equilibrium solutions and cast them in vector second order form. For certain tensegrity structures which yield particular equilibrium configurations easily parameterized we present the corresponding linear models and identify the structure of the linear models matrices in terms of the geometrical and inertial parameters of these structures. Analytical and numerical evidence is presented which shows that these equilibria are stable.
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Reports on the topic "Mechanical equilibrium"

1

Iafrate, Gerald J., and Andrey A. Kiselev. Non-Equilibrium Phonon Processes and Degradation in Gigahertz Nanoscale Mechanical Resonators. Fort Belvoir, VA: Defense Technical Information Center, September 2008. http://dx.doi.org/10.21236/ada501162.

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Chernyak, Vladimir Y., Michael Chertkov, Joris Bierkens, and Hilbert J. Kappen. Optimal Stochastic Control as Non-equilibrium Statistical Mechanics: Calculus of Variations over Density and Current. Office of Scientific and Technical Information (OSTI), June 2013. http://dx.doi.org/10.2172/1086764.

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3

Dutrow, Barbara. Thermal-chemical-mechanical feedback during fluid-rock interactions: Implications for chemical transport and scales of equilibria in the crust. Office of Scientific and Technical Information (OSTI), August 2008. http://dx.doi.org/10.2172/935785.

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4

Perdigão, Rui A. P., and Julia Hall. Spatiotemporal Causality and Predictability Beyond Recurrence Collapse in Complex Coevolutionary Systems. Meteoceanics, November 2020. http://dx.doi.org/10.46337/201111.

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Causality and Predictability of Complex Systems pose fundamental challenges even under well-defined structural stochastic-dynamic conditions where the laws of motion and system symmetries are known. However, the edifice of complexity can be profoundly transformed by structural-functional coevolution and non-recurrent elusive mechanisms changing the very same invariants of motion that had been taken for granted. This leads to recurrence collapse and memory loss, precluding the ability of traditional stochastic-dynamic and information-theoretic metrics to provide reliable information about the non-recurrent emergence of fundamental new properties absent from the a priori kinematic geometric and statistical features. Unveiling causal mechanisms and eliciting system dynamic predictability under such challenging conditions is not only a fundamental problem in mathematical and statistical physics, but also one of critical importance to dynamic modelling, risk assessment and decision support e.g. regarding non-recurrent critical transitions and extreme events. In order to address these challenges, generalized metrics in non-ergodic information physics are hereby introduced for unveiling elusive dynamics, causality and predictability of complex dynamical systems undergoing far-from-equilibrium structural-functional coevolution. With these methodological developments at hand, hidden dynamic information is hereby brought out and explicitly quantified even beyond post-critical regime collapse, long after statistical information is lost. The added causal insights and operational predictive value are further highlighted by evaluating the new information metrics among statistically independent variables, where traditional techniques therefore find no information links. Notwithstanding the factorability of the distributions associated to the aforementioned independent variables, synergistic and redundant information are found to emerge from microphysical, event-scale codependencies in far-from-equilibrium nonlinear statistical mechanics. The findings are illustrated to shed light onto fundamental causal mechanisms and unveil elusive dynamic predictability of non-recurrent critical transitions and extreme events across multiscale hydro-climatic problems.
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AXIAL COMPRESSION BEHAVIOR OF SQUARE THIN-WALLED CFST COLUMN TO RC BEAM JOINTS. The Hong Kong Institute of Steel Construction, August 2022. http://dx.doi.org/10.18057/icass2020.p.288.

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To investigate the influence of eccentricity ratio and slenderness ratio on the mechanical properties of eccentric compressed concrete filled steel tubular (CFST) lattice column, the ultimate bearing capacity tests of 20 K shape arrangement lacing strip of four-tube CFST columns were conducted. Based on the stress-strain relationship of CFST and the influence of shear deformation, the equilibrium equation of the mid-section is established and a numerical method for the ultimate bearing capacity of CFST lattice column is proposed. The slenderness reduction coefficient calculation model and equivalent slenderness ratio formula of CFST lattice column are established. Combined with the numerical results and the slenderness ratio reduction coefficient calculation model, the formula of slenderness ratio reduction coefficient is put forward. The comparison between theoretical analysis and experimental results shows that the calculation method of elastic-plastic ultimate bearing capacity of CFST lattice column proposed in this paper is quite accurate. The research outcomes can provide a reference for the application of CFST lattice column and revision of current specifications.
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6

CALCULATION METHOD OF ULTIMATE LOAD BEARING CAPACITY OF CONCRETE FILLED STEEL TUBULAR LATTICE COLUMNS. The Hong Kong Institute of Steel Construction, August 2022. http://dx.doi.org/10.18057/icass2020.p.095.

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To investigate the influence of eccentricity ratio and slenderness ratio on the mechanical properties of eccentric compressed concrete filled steel tubular (CFST) lattice column, the ultimate bearing capacity tests of 20 K shape arrangement lacing strip of four-tube CFST columns were conducted. Based on the stress-strain relationship of CFST and the influence of shear deformation, the equilibrium equation of the mid-section is established and a numerical method for the ultimate bearing capacity of CFST lattice column is proposed. The slenderness reduction coefficient calculation model and equivalent slenderness ratio formula of CFST lattice column are established. Combined with the numerical results and the slenderness ratio reduction coefficient calculation model, the formula of slenderness ratio reduction coefficient is put forward. The comparison between theoretical analysis and experimental results shows that the calculation method of elastic-plastic ultimate bearing capacity of CFST lattice column proposed in this paper is quite accurate. The research outcomes can provide a reference for the application of CFST lattice column and revision of current specifications.
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