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Journal articles on the topic 'D'Alembert model'

Author: Grafiati

Published: 14 March 2023

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1

Bozhkova, L. V., G. I. Noritsina, V. G. Ryabov, and T. V. Akulshina. "Mathematical model of dynamics of highly nonlinear guided mechanical system." Izvestiya MGTU MAMI 7, no. 3-1 (2013): 30–39. http://dx.doi.org/10.17816/2074-0530-67976.

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The authors developed a mathematical model of the dynamics of highly nonlinear guided mechanical system on the example of an industrial robot of the “SKILAM” type taking into account dry friction in the kinematic pairs of the robot arms and the dynamic characteristics of the motors. The solution is based on the principles of d'Alembert and D'Alembert-Lagrange. At the same time an apparatus of homogeneous coordinate transformation matrices was used.

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2

Biasco, Luca, and Luigi Chierchia. "Exponential stability for the resonant D'Alembert model of celestial mechanics." Discrete & Continuous Dynamical Systems - A 12, no. 4 (2005): 569–94. http://dx.doi.org/10.3934/dcds.2005.12.569.

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3

Chen, Chao, Mei Han, and Yanhui Han. "A Numerical Model for Railroad Freight Car-to-Car End Impact." Discrete Dynamics in Nature and Society 2012 (2012): 1–11. http://dx.doi.org/10.1155/2012/927592.

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A numerical model based on Lagrange-D'Alembert principle is proposed for car-to-car end impact in this paper. In the numerical model, the friction forces are treated by using local linearization model when solving the differential equations. A computer program has been developed for the numerical model based on Runge-Kutta fourth-order method. The results are compared with the Multibody Dynamics/Kinematics software SIMPACK results and they are close. The ladings' relative displacement to struck car and the relative displacement between two ladings get larger as impact speed increases. There is

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4

Song, Chao Sheng, Qi Ming Huang, Jie Xu, and Zhan Gao. "The Mechanism Analysis of Horizontal Vibrated Conveyor with Inclination." Applied Mechanics and Materials 215-216 (November 2012): 1093–97. http://dx.doi.org/10.4028/www.scientific.net/amm.215-216.1093.

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Considering the transition effect of static friction to dynamic friction, a two degree-of- freedoms vibration model of a new type of horizontal vibrated conveyor with inclination which can be used for continuous charging of electric arc furnace is formulated using d'Alembert principle. Based on the proposed vibration model, a program is wrote and the transmit mechanism is investigated. Computational results reveal numerous interesting conveying characteristics which can be used to forecast and control the vibration of the scrap and the conveyor.

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Lv, Mei Yu, Jin Quan Li, Bing Lei Duan, and Rong Fu. "The Dynamics Analysis on a Type Palletizing Robot." Applied Mechanics and Materials 157-158 (February 2012): 982–86. http://dx.doi.org/10.4028/www.scientific.net/amm.157-158.982.

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For a palletizing robot, based on analysis of structural and force,taking the theory of D'Alembert to transform the instantaneous inertial force system into a static system and the Kineto-static mathematical model for the robots is established through the method of Kineto-static. At last, via solving the Kineto-static mathematical model by use of the Matlab，the model is verified by calculating and analysing an example. This model is applicable to dynamic analysis on the robots with similar configuration and the results based on the parameter variation is also applicable to this kind of robot’s

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6

Ding, Zhi, Guo Bao Ge, Xin Jiang Wei, and Tao Zhang. "Numerical Analysis of Foundation Soil Displacement to Adjacent Buildings Caused by Running Subway." Advanced Materials Research 446-449 (January 2012): 2139–42. http://dx.doi.org/10.4028/www.scientific.net/amr.446-449.2139.

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The tunnel - subgrade - adjacent buildings interaction model was established by ANSYS to simulate the soil displacement by Running Subway to adjacent buildings. According to D'Alembert principle, we got the dynamic load produced by train acceleration. Multi-point load was applied to simulate the movement of train. Based on ANSYS simulation results, the surrounding soil displacement of the tunnel was analyzed when in different train speed. On the other hand, the soil displacement in different depths is analyzed when in the same train speed.

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Chung, J. H., and S. A. Velinsky. "Modeling and control of a mobile manipulator." Robotica 16, no. 6 (1998): 607–13. http://dx.doi.org/10.1017/s0263574798000873.

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This paper concerns the modeling and control of a mobile manipulator which consists of a robotic arm mounted upon a mobile platform. The equations of motion are derived using the Lagrange-d'Alembert formulation for the nonholonomic model of the mobile manipulator. The dynamic model which considers slip of the platform's tires is developed using the Newton-Euler method and incorporates Dugoff's tire friction model. Then, the tracking problem is investigated by using a well known nonlinear control method for the nonholonomic model. The adverse effect of the wheel slip on the tracking of commande

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8

Liu, Xiaokun, Guanglie Yang, Chaoming Mo, et al. "Dynamic Analysis of the influence of the Rotor Centroid Offset of Gyrowheel." Journal of Physics: Conference Series 2209, no. 1 (2022): 012025. http://dx.doi.org/10.1088/1742-6596/2209/1/012025.

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Abstract Gyrowheel is a new electromechanical servo device which can realize the integration of spacecraft attitude control and attitude measurement. Due to the existence of machining and assembly errors, there must be a deviation between the rotor centroid of the gyrowheel and the support center, that is, the centroid offset. Firstly, to solve this problem, the dynamic modeling of rotor center of mass offset is carried out from the perspective of vector mechanics by using D'Alembert principle. Secondly, the established dynamic model is simplified, and the influence of rotor center of mass off

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9

Chen, Chun-Ta, and Te-Tan Liao. "Optimal Path Programming of the Stewart Platform Manipulator Using the Boltzmann–Hamel–d'Alembert Dynamics Formulation Model." Advanced Robotics 22, no. 6-7 (2008): 705–30. http://dx.doi.org/10.1163/156855308x305281.

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10

Bhatt, Maulik, Amit K. Sanyal, and Srikant Sukumar. "Asymptotically stable optimal multi-rate rigid body attitude estimation based on lagrange-d'alembert principle." Journal of Geometric Mechanics 15, no. 1 (2023): 73–97. http://dx.doi.org/10.3934/jgm.2023004.

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<abstract><p>The rigid body attitude estimation problem is treated using the discrete-time Lagrange-d'Alembert principle. Three different possibilities are considered for the multi-rate relation between angular velocity measurements and direction vector measurements for attitude: 1) integer relation between sampling rates, 2) time-varying sampling rates, 3) non-integer relation between sampling rates. In all cases, it is assumed that angular velocity measurements are sampled at a higher rate compared to the inertial vectors. The attitude determination problem from two or more vecto

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Grigorev, Igor, Albert Burgonutdinov, Valentin Makuev, et al. "The theoretical modeling of the dynamic compaction process of forest soil." Mathematical Biosciences and Engineering 19, no. 3 (2022): 2935–49. http://dx.doi.org/10.3934/mbe.2022135.

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<abstract> <p>Due to the growing demand for timber, forest soils are increasingly exposed to mechanical disturbances, caused by forestry equipment. Even though using skidding machines to transport wood is detrimental to the physical state of the soil, this method remains the most common. Hence, there is a need to model the impact of skidding systems on the upper (fertile) layer of the soil. This study aims to develop such a model using the D'Alembert principle, the method of Laplace transforms, and a modified Kelvin-Voigt model. The work shows that subdividing the tractor-bundle-so

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LOZINSKI, ALEXEI, and MICHEL V. ROMERIO. "MOTION OF GAS BUBBLES, CONSIDERED AS MASSLESS BODIES, AFFORDING DEFORMATIONS WITHIN A PRESCRIBED FAMILY OF SHAPES, IN AN INCOMPRESSIBLE FLUID UNDER THE ACTION OF GRAVITATION AND SURFACE TENSION." Mathematical Models and Methods in Applied Sciences 17, no. 09 (2007): 1445–78. http://dx.doi.org/10.1142/s0218202507002340.

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A model allowing to describe motion and coalescence of gas bubbles in a liquid under the action of gravitation and surface tension is proposed. The shape of the bubbles is described by a pre-defined family of mappings, for example ellipsoids with a fixed volume and the effects of the gas motions inside the bubbles are neglected. The motion of a bubble is obtained in a Lagrangian form using the D'Alembert principle of virtual works. The set of equations is numerically solved with the help of the fictitious domain technique in which the Navier–Stokes equations in the domain formed by both fluid

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Ding, Nan Hong, Li Xia Lin, and Wei Hua Liao. "Vibration of Double Cable Suspension Bridge under Vehicle Load." Applied Mechanics and Materials 50-51 (February 2011): 328–32. http://dx.doi.org/10.4028/www.scientific.net/amm.50-51.328.

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A single moving mass-spring-damper model is adopted to simulate the vehicle model. The equation of vehicle-bridge coupling vibration is derived, using D'Alembert principle and the conditions of displacement compatibility. The dynamic responses of a double cable suspension bridge to the vehicle moving at different speeds are analyzed, considering the geometric nonlinearity and the bridge carriageway irregularity factor, under two types of vehicle loading conditions, namely moving along the center and the eccentric longitudinal axis. Then the influence of vehicle velocity and bridge carriageway

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Korendiy, Vitaliy. "Generalized design diagram and mathematical model of suspension system of vibration-driven robot." Ukrainian Journal of Mechanical Engineering and Materials Science 7, no. 3-4 (2021): 1–10. http://dx.doi.org/10.23939/ujmems2021.03-04.001.

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Problem statement. Mobile robotic systems are widely used in various fields of industry and social life: from small household appliances to large-size road-building machinery. Specific attention of scientists and designers is paid to the vibration-driven locomotion systems able to move in the environments where the use of classical wheeled and caterpillar robots is impossible or inefficient. Purpose. The main objective of this paper consists in generalizing the actual research results dedicated to various design diagrams and mathematical models of suspension systems of mobile vibration-driven

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15

Rajagopal, K. R., and A. R. Srinivasa. "On the nature of constraints for continua undergoing dissipative processes." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 461, no. 2061 (2005): 2785–95. http://dx.doi.org/10.1098/rspa.2004.1385.

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When dealing with mechanical constraints, it is usual in continuum mechanics to enforce ideas that stem from the seminal work of Bernoulli and D'Alembert and require that internal constraints do no work. The usual procedure is to split the stress into a constraint response and a constitutively determined response that does not depend upon the variables that appear in the constraint response (i.e. the Lagrange multiplier), and further requiring that the constraint response does no work. While this is adequate for hyperelastic materials, it is too restrictive in the sense that it does not permit

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Sokil, B. I., P. Ya Pukach, A. P. Senyk, M. B. Sokil, A. I. Andrukhiv, and M. I. Vovk. "Asymptotic method and wave theory of motion in studying the effect of periodic impulse forces on systems characterized by longitudinal motion velocity." Mathematical Modeling and Computing 9, no. 4 (2022): 909–20. http://dx.doi.org/10.23939/mmc2022.04.909.

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A methodology for researching dynamic processes of one-dimensional systems with distributed parameters that are characterized by longitudinal component of motion velocity and are under the effect of periodic impulse forces has been developed. The boundary problem for the generalized non-linear differential Klein–Gordon equation is the mathematical model of dynamics of the systems under study in Euler variables. Its specific feature is that the unexcited analogue does not allow applying the known classical Fourier and D'Alembert methods for building a solution. Non-regularity of the right part

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Schmidt, H. J. "Models for Constrained Motion and d'Alembert's Principle." ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik 73, no. 3 (1993): 155–63. http://dx.doi.org/10.1002/zamm.19930730306.

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SUZUKI, MASAYASU, and NOBORU SAKAMOTO. "CONTROLLING IDEAL TURBULENCE IN TIME-DELAYED CHUA'S CIRCUIT: STABILIZATION AND SYNCHRONIZATION." International Journal of Bifurcation and Chaos 20, no. 05 (2010): 1351–63. http://dx.doi.org/10.1142/s0218127410026526.

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We try to stabilize steady solutions of a physical model described by wave equations with nonlinear boundary conditions. This system is a distributed parameter system in which ideal turbulence, introduced by Sharkovsky et al., occurs. Although the behavior of the system is quite intricate both in time and space, by using d'Alembert's solution, the analysis of the dynamic characteristics can be reduced to that of a finite-dimensional difference equation. In this report, based on this analytical method using d'Alembert's solution, we design control laws to stabilize steady solutions (equilibrium

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19

Владецкая, Е. А., С. М. Братан, А. О. Харченко, and Е. В. Хекерт. "Dynamics of vibration effects on a grinding machine in a floating workshop, taking into account sea waves." MORSKIE INTELLEKTUAL`NYE TEHNOLOGII)</msg>, no. 3(57) (August 7, 2022): 84–93. http://dx.doi.org/10.37220/mit.2022.57.3.011.

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В статье приведены результаты анализа и теоретических исследований динамики вибрационных воздействий на шлифовальный станок с учетом изменяющихся внешних факторов в условиях плавучей мастерской. Для обеспечения заданных параметров качества поверхностей при шлифовании на оборудовании плавучей мастерской на основе полученных динамических моделей и оценок разработана автоматическая система стабилизации параметров технологической системы с учетом воздействий внешней среды, в частности, волнений водной поверхности. Для процесса шлифования на основе принципа Даламбера–Лагранжа построено математическ

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20

Li, Jin Quan, Su Xia Zhu, and Quan Sheng Lei. "The Dynamics Analysis on a Type Palletizing Robot." Advanced Materials Research 479-481 (February 2012): 725–28. http://dx.doi.org/10.4028/www.scientific.net/amr.479-481.725.

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Based on a palletizing robot, its kineto-static model is created via d'alembert's principle and dynamic statics method. The force of key components with its posture change will be obtained by use of the Matlab. This model is applicable to dynamic analysis on the robots with similar configuration and the results based on the parameter variation is also applicable to this kind of robot’s design, checking and kinetic control.

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21

Pashkov, E. N., Nikita Martyushev, and Pavel G. Yurovsky. "Stationary Rotation of the Partially Liquid-Filled Unbalanced Rotor under External Friction Force Action." Advanced Materials Research 1040 (September 2014): 903–6. http://dx.doi.org/10.4028/www.scientific.net/amr.1040.903.

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Rotor rotation with liquid layer on the chamber wall under viscoelastic action of the shaft within a planar model is examined in the article. The solution to the problem of determining the deflection of a rotating shaft with liquid filled chamber is given, which is important when designing an automatic balancing device. The issue of the cooperative motion of a solid body and liquid is considered in mathematical research. The set task is performed by applying D'Alembert's principle. The modeling results indicate that an increase in liquid’s mass in a rotor decreases its critical rotation speed;

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Evseev, Dmitriy, Yuriy Sarychev, and Sergey Bespal'ko. "MATHEMATICAL MODEL OF THE CAR SHOCK ABSORBER BASED ON VISCOUS FRICTION." Transport engineering 2022, no. 01-02 (2022): 89–95. http://dx.doi.org/10.30987/2782-5957-2022-01-02-89-95.

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The work objective is to develop a mathematical model of the force characteristics of shock absorbers based on viscous friction, including elastomeric ones. For this purpose, the following tasks are solved in the work: the existing approaches to the mathematical modelling of hydraulic shock absorbers are analysed, a mathematical model based on hydraulic equations (the Darcy–Weisbach equation) is proposed, the developed mathematical model is verified and the results are compared with the results obtained based on the existing approach. Research methods: the equation of fluid flow through

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23

Zhang, Man, and Ji-Xian Dong. "Transverse Vibration Analysis of Axially Moving Trapezoidal Plates." Journal of Nanoelectronics and Optoelectronics 16, no. 6 (2021): 978–86. http://dx.doi.org/10.1166/jno.2021.3049.

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Transverse vibration of axially moving trapezoidal plates is investigated. The differential equation of transverse vibration for a axially moving trapezoidal plate is established by D'Alembert principle. The original trapezoid region can be replaced by regular square region by the medium parameter method for the convenience of calculation. A generalized complex eigenvalue equation is derived by a discrete method (the differential quadrature method). The complex frequency curve of trapezoidal plate is obtained by calculating the eigenvalue equation. The change of the complex frequencies of the

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Boianovsky, Mauro, and Vincent J. Tarascio. "Mechanical Inertia and Economic Dynamics: Pareto on Business Cycles." Journal of the History of Economic Thought 20, no. 1 (1998): 5–23. http://dx.doi.org/10.1017/s1053837200001565.

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In the second volume of his Cours, published a hundred years ago, Vilfredo Pareto (1897, section 928) put forward what was probably the first mathematical model of the business cycle. Apart from Knut Wicksell's (1899) review of Pareto's book and Jess Benhabib's (1979) short article (partly based on Wicksell's comments), Pareto's model has gone unnoticed. According to the view advanced by Pareto in the 1890s, concepts from physics are essential, not only in the realm of static equilibrium, but also in the investigation of economic dynamics. The model follows a new presentation by Pareto of his

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Martín-Ruiz, A., and L. F. Urrutia. "Gravitational waves propagation in nondynamical Chern–Simons gravity." International Journal of Modern Physics D 26, no. 13 (2017): 1750148. http://dx.doi.org/10.1142/s0218271817501486.

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We investigate the propagation of gravitational waves in linearized Chern–Simons (CS) modified gravity by considering two nondynamical models for the coupling field [Formula: see text]: (i) a domain wall and (ii) a surface layer of [Formula: see text], motivated by their relevance in condensed matter physics. We demonstrate that the metric and its first derivative become discontinuous for a domain wall of [Formula: see text], and we determine the boundary conditions by realizing that the additional contribution to the wave equation corresponds to one of the self-adjoint extensions of the D'Ale

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26

Malmuth, N. D. "An asymptotic theory of wind-tunnel-wall interference on subsonic slender bodies." Journal of Fluid Mechanics 177 (April 1987): 19–35. http://dx.doi.org/10.1017/s0022112087000831.

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An asymptotic theory of solid cylindrical wind-tunnel-wall interference about subsonic slender bodies has been developed. The basic approximation used is one of large wall-radius to body-length ratio. Matched asymptotic expansions show that in contrast to the analogous two-dimensional problem of a confined airfoil, three regions exist. Besides the incompressible crossflow and nearly axisymmetric zones, a wall layer exists where reflection in the wall of the line source representing the body becomes of dominant importance. From the theory, the interference pressures are shown to be approximatel

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SHEN, ZHENXING, and GENGKAI HU. "THERMALLY INDUCED VIBRATIONS OF SOLAR PANEL AND THEIR COUPLING WITH SATELLITE." International Journal of Applied Mechanics 05, no. 03 (2013): 1350031. http://dx.doi.org/10.1142/s1758825113500312.

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A coupled thermal-structural model of a laminated composite plate is proposed by using the absolute nodal coordinate formulation, the transverse shear and normal deformations through element thickness are included. The dynamic equations of structure are established by applying the d'Alembert's principle and then solved numerically to determine dynamic responses and transient heat conduction in the structure due to the nonlinear elastic force and thermal radiation. A cantilevered flexible solar panel subjected suddenly to a solar radiation is examined, it is found that by considering the coupli

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Giunta, Gaetano, Yao Koutsawa, and Salim Belouettar. "Analysis of Three-Dimensional Piezo-Electric Beams via a Unified Formulation." Advanced Materials Research 745 (August 2013): 101–18. http://dx.doi.org/10.4028/www.scientific.net/amr.745.101.

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A Unified Formulation for deriving several higher-order theories and related finite elements for beams is presented within this paper.Three-dimensional structures with piezo-electric layers are considered.Static and free vibration analyses are carried out.Models' main unknowns are the displacements and the electric potential.They are approximated above the beam cross-section via Lagrange's polynomials in a layer-wise sense.Finite elements stiffness and mass matrices are derived in a nucleal form using d'Alembert's Principle.This nucleal form is representative of the generic term in the approxi

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Бондаренко, Юлия, Yuliya Bondarenko, Сергей Ханин, Sergey Hanin, Ольга Бестужева, and Olga Bestuzheva. "MATHEMATICAL DESCRIPTION OF STRESS-STRAIN CONDITION OF BALL MILL’S PIN UNDER THE FORCE OF GRAVITY AND ROTATION." Bulletin of Belgorod State Technological University named after. V. G. Shukhov 4, no. 3 (2019): 128–33. http://dx.doi.org/10.34031/article_5ca1f6356f67c4.15287599.

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The article discusses the pin of a ball mill under the action of constant loads of the body with grinding material, the simultaneous action of gravity and rotation due to the moment of external forces. During the operation of a ball mill, a dangerous section of the bottoms is the place where the cylindrical part of the trunnion becomes conical. The stress-strain condition of the ball mill’ pin is estimated on the basis of a mathematical model that includes a complete system of equilibrium equations, defining ratios of elastoplastic deformation. It takes into account the effects of cyclic loadi

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Evseev, Dmitriy, Yuriy Sarychev, and Sergey Bespal'ko. "STUDY OF VIBRATIONS OF A PASSENGER CAR EQUIPPED WITH ELASTOMERIC DAMPERS." Transport engineering 2022, no. 6 (2022): 30–41. http://dx.doi.org/10.30987/2782-5957-2022-6-30-41.

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The study objective is to develop and analyze mathematical models of vibrations of a passenger car with elastomeric dampers. The problem to which the paper is devoted is to improve the dynamic characteristics of the undercarriage of passenger cars and increase passenger comfort. The research methods used in this study are typical for solving the problems of rolling stock dynamics. The car is approximated by a system of concentrated masses connected by elastic and dissipative bonds. The external impact is track irregularities of different types. Differential equations of motion are combined usi

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SIMON, JONATHAN. "Retrospectives: History of science in France." British Journal for the History of Science 52, no. 4 (2019): 689–95. http://dx.doi.org/10.1017/s0007087419000645.

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Although maybe not the most fashionable area of study today, French science has a secure place in the classical canon of the history of science. Like the Scientific Revolution and Italian science at the beginning of the seventeenth century, French science, particularly eighteenth-century and early nineteenth-century French science, remains a safe, albeit conservative, bet in terms of history-of-science teaching and research. The classic trope of the passage of the flame of European science from Italy to Britain and France in the seventeenth and then eighteenth centuries is well established in

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Bondarenko, I. R., A. A. Voloshkin, V. S. Perevuznik, and L. A. Kovalev. "Calculation of the force and kinematic parameters of the transfer mechanism based on a twisted arm chain." Advanced Engineering Research 22, no. 2 (2022): 91–98. http://dx.doi.org/10.23947/2687-1653-2022-22-2-91-98.

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Introduction. The paper presents a brief kinematic analysis, as well as the application of D'Alembert's principle to finding the relationship between the force parameters in the transmission mechanism of a robotic manipulator constructed from a twisted arm chain. The use of this transfer mechanism can enhance the life of the arm actuator, the accuracy of its positioning, and increase the workload compared to the flexible linkage actuators (twisted strings). The work aimed at obtaining dependences between the displacements of circuit elements, as well as their force parameters required to monit

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"Interaction of acoustic waves with moving boundary surfaces." Vestnik Mashinostroeniya, May 2021, 59–60. http://dx.doi.org/10.36652/0042-4633-2021-5-58-60.

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A quasi-static approximation is considered for the interaction of a probing ultrasonic beam with a vibrating boundary surface. The model is considered in the form of a boundary value problem, presented in the form of d'Alembert. The method of successive approximations was used for the solution. The error arising from this interaction is established. Keywords: quasi-static approximation, boundary value problem, d'Alembert form, Doppler effect, rheological medium. gord349@mail.ru; oxulkovs@mail.ru

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Tashakori, Shabnam, Gholamreza Vossoughi, Hassan Zohoor, and Ehsan Azadi Yazdi. "Modification of the Infinite-Dimensional Neutral-Type Time-Delay Dynamic Model for the Coupled Axial–Torsional Vibrations in Drill Strings With a Drag Bit." Journal of Computational and Nonlinear Dynamics 15, no. 8 (2020). http://dx.doi.org/10.1115/1.4043147.

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Abstract Drill strings are subjected to complex coupled dynamics. Therefore, accurate dynamic modeling, which can represent the physical behavior of real drill strings, is of great importance for system analysis and control. The most widely used dynamic models for such systems are the lumped element models, which neglect the system distributed feature. In this paper, a dynamic model called neutral-type time delay model is modified to investigate the coupled axial–torsional vibrations in drill strings. This model is derived directly from the distributed parameter model by employing the d'Alembe

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Wu, K., and W. D. Zhu. "Parametric Instability in a Taut String With a Periodically Moving Boundary." Journal of Applied Mechanics 81, no. 6 (2014). http://dx.doi.org/10.1115/1.4026181.

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Parametric instability in a taut string with a periodically moving boundary, which is governed by a one-dimensional wave equation with a periodically varying domain, is investigated. Parametric instability usually occurs when coefficients in governing differential equations of a system periodically vary, and the system is said to be parametrically excited. Since the governing partial differential equation of the string with a periodically moving boundary can be transformed to one with a fixed domain and periodically varying coefficients, the string is parametrically excited and instability cau

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Murakami, Hidenori. "Development of an Active Curved Beam Model—Part I: Kinematics and Integrability Conditions." Journal of Applied Mechanics 84, no. 6 (2017). http://dx.doi.org/10.1115/1.4036308.

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In order to develop an active nonlinear beam model, the beam's kinematics is examined in this paper, by employing the kinematic assumption of a rigid cross section during deformation. As a mathematical tool, the moving frame method, developed by Cartan (1869–1951) on differentiable manifolds, is utilized by treating a beam as a frame bundle on a deforming centroidal curve. As a result, three new integrability conditions are obtained, which play critical roles in the derivation of beam equations of motion. These integrability conditions enable the derivation of beam models in Part II, starting

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Ling, Mingxiang, Larry L. Howell, Junyi Cao, and Zhou Jiang. "A Pseudo-Static Model for Dynamic Analysis on Frequency Domain of Distributed Compliant Mechanisms." Journal of Mechanisms and Robotics 10, no. 5 (2018). http://dx.doi.org/10.1115/1.4040700.

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This paper presents a pseudo-static modeling methodology for dynamic analysis of distributed compliant mechanisms to provide accurate and efficient solutions. First, a dynamic stiffness matrix of the flexible beam is deduced, which has the same definition and a similar form as the traditional static compliance/stiffness matrix but is frequency dependent. Second, the pseudo-static modeling procedure for the dynamic analysis is implemented in a statics-similar way based on D'alembert's principle. Then, all the kinematic, static and dynamic performances of compliant mechanisms can be analyzed bas

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38

Ling, Mingxiang, Xianmin Zhang, and Junyi Cao. "Extended Dynamic Stiffness Model for Analyzing Flexure-Hinge Mechanisms With Lumped Compliance." Journal of Mechanical Design 144, no. 1 (2021). http://dx.doi.org/10.1115/1.4051891.

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Abstract This paper introduces an extended dynamic stiffness modeling approach for concurrent kinetostatic and dynamic analyses of planar flexure-hinge mechanisms with lumped compliance. First, two novel dynamic stiffness matrices are derived for two types of flexure hinge connected to rigid bodies by shifting the end node to the mass center of rigid bodies considering the geometric effect of rigid motion. A straightforward modeling procedure is then proposed for the whole compliant mechanism based on d'Alembert's principle by selecting the displacements at both the mass center of rigid bodies

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39

Murakami, Hidenori. "Development of an Active Curved Beam Model—Part II: Kinetics and Internal Activation." Journal of Applied Mechanics 84, no. 6 (2017). http://dx.doi.org/10.1115/1.4036317.

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Utilizing the kinematics, presented in the Part I, an active large deformation beam model for slender, flexible, or soft robots is developed from the d'Alembert's principle of virtual work, which is derived for three-dimensional elastic solids from Hamilton's principle. This derivation is accomplished by refining the definition of the Cauchy stress tensor as a vector-valued 2-form to exploit advanced geometrical operations available for differential forms. From the three-dimensional principle of virtual work, both the beam principle of virtual work and beam equations of motion with consistent

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40

Shen, Nanyan, Hengming Yuan, Jing Li, Zirui Wang, Ninghe Lu, and Yushun Lu. "Dynamic Modeling and Simulation of a Hybrid Robot." Journal of Mechanisms and Robotics, April 12, 2022, 1–32. http://dx.doi.org/10.1115/1.4054322.

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Abstract The unique structure of hybrid robot makes its dynamic characteristic different from that of the traditional machine tools. Therefore, the dynamic model is crucial to both designing and application of hybrid robot. In this paper, a new type of 5-DoF hybrid robot is introduced and its dynamic model is established. Firstly, the kinematic formulas are derived for all the component, and then the inertia forces or moments are calculated. Secondly, the active forces or moments in the joints are assumed as variables and the number of variables is reduced by analyzing joint types. Then an equ

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41

Tran, Van Nhu, Xuan Ngoc Nguyen, Van Tan Vu, and Tien Phuc Dang. "ROLLOVER STABILITY ANALYSIS OF LIQUID TANK TRUCK TAKING INTO ACCOUNT THE ROAD PROFILES." Journal of Applied Engineering Science, October 11, 2022, 1–10. http://dx.doi.org/10.5937/jaes0-36578.

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The rollover stability of the tank truck was quite poor compare with others due to the influence of the oscillating liquid inside the tank. In addition, it was also affected by road excitation during driving. Therefore, the paper presents the impact of the road profiles in turning and lane change maneuvers on the rollover stability characteristics of a liquid tank truck. Firstly, the study applies the quasi-static method and the roll model to built the dynamic model of a circular cross-section tank truck. After that, the Lagrange method and the D'Alembert's principle are used to set up the dif

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Sun, Qiaolei, Liang He, Ding Feng, Xinlong Chen, Liangliang Ding, and Yiliu Tu. "Modeling and analysis of structure parameters on the lifting force for power catwalk." Journal of Engineering, Design and Technology ahead-of-print, ahead-of-print (2020). http://dx.doi.org/10.1108/jedt-09-2018-0147.

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Purpose As the excessive lifting force can lead to catwalk rollover and well site accidents, the lifting process boundary conditions and structural parameters have a significant effect lifting force, it is important to analysis the structural parameters on the maximum lifting force in the lifting process of power catwalk. Design/methodology/approach A new model is proposed to analyze the influence of structure parameters on its lifting force for lifting power catwalk in this paper, and the geometric and dynamic equations are established according to the different boundary conditions in differe

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