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Journal articles on the topic 'A single degree-of-freedom system'

Author: Grafiati

Published: 3 June 2025

Last updated: 31 July 2025

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1

Liu, Chein-Shan, and Chih-Wen Chang. "Earthquake Barcode from a Single-Degree-of-Freedom System." Natural Science 07, no. 01 (2015): 18–31. http://dx.doi.org/10.4236/ns.2015.71003.

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2

S., Santhosh, and Periyasamy S. "Experimental Design For Single Degree Of Freedom Vibration System." International Journal of Research in Advent Technology 7, no. 4 (2019): 401–5. http://dx.doi.org/10.32622/ijrat.742019168.

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3

Sheng, Ming Qiang, and Ying Liu. "The Research on Hysteretic Energy in the Equivalent System Schemes between Multi Degree of Freedom System and Single Degree of Freedom System." Applied Mechanics and Materials 166-169 (May 2012): 2177–81. http://dx.doi.org/10.4028/www.scientific.net/amm.166-169.2177.

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The cumulative damage produced by severe earthquake is significant to the structural dilapidation and collapse. Most design methods based on force or displacement can’t reflect the effect of cumulative damage. Energy-based seismic design is known as a good alternative design. At present the research on the hysteretic energy of single-degree of freedom system(SDOF) is abundant, but real buildings can only be simplified as multi-degree of freedom systems(MDOF) mostly. Therefore how to acquire suitable equivalent single-degree of freedom system(ESDOF) is a key program. In this paper 12 equivalent

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4

Li, Hong-Nan, Chunxu Qu, Linsheng Huo, and Satish Nagarajaiah. "Equivalent bilinear elastic single degree of freedom system of multi-degree of freedom structure with negative stiffness." Journal of Sound and Vibration 365 (March 2016): 1–14. http://dx.doi.org/10.1016/j.jsv.2015.11.005.

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5

Inaudi, José A., George Leitmann, and James M. Kelly. "Single‐Degree‐of‐Freedom Nonlinear Homogeneous Systems." Journal of Engineering Mechanics 120, no. 7 (1994): 1543–62. http://dx.doi.org/10.1061/(asce)0733-9399(1994)120:7(1543).

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6

Savaşaneril, Nurcan Baykuş. "Lucas Polynomial Solution of the Single Degree of Freedom System." Scientific Research Communications 3, no. 1 (2023): 1–10. http://dx.doi.org/10.52460/src.2023.002.

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Free vibration of a single degree of freedom system is a fundamental topic in mechanical vibrations. The present study introduces a novel and simple numerical method for the solution of this system in terms of Lucas polynomials in the matrix form. Particular and general solutions of the differential equation can be determined by this method. The method is illustrated by a numerical application and the results obtained are compared with those of the exact solution.

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7

Taheri, Ali, and Farhad Behnamfar. "Interaction of Connected Single-Degree-of-Freedom Systems." Procedia Engineering 14 (2011): 3059–68. http://dx.doi.org/10.1016/j.proeng.2011.07.385.

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8

Hale, Michael, and Norman Fitz-Coy. "Control of an Over-Actuated Single-Degree-of-Freedom Excitation System." Journal of the IEST 53, no. 1 (2010): 31–43. http://dx.doi.org/10.17764/jiet.53.1.1tp80t7p057487n2.

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This paper provides results of a laboratory experiment designed to illustrate the theoretical control considerations for an over-actuated excitation system. The experiment is based on control of a beam pinned at one end providing a single rotational degree of freedom and excited by two electrodynamic actuators. Control is achieved through implementation of two different control reference techniques: (1) reference based on linear acceleration autospectral densities (ASD) and cross-spectral densities (CSD) using linear accelerometer feedback and (2) reference based on an angular acceleration ASD

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9

Zhang, Zhen Hao, and Wei Jun Yang. "Seismic Reliability Analysis of Single-Degree-of-Freedom System when Structural Response is with Markov Property." Applied Mechanics and Materials 204-208 (October 2012): 2690–93. http://dx.doi.org/10.4028/www.scientific.net/amm.204-208.2690.

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The stationary responses process of single-degree-of-freedom structural system is a stationary process with Markov property in displacement-speed space when the random earthquake load is simulated as flat noise or nearly flat noise. In this paper, the seismic reliability of singe-degree-of-freedom structural system of which the structural responses is with Markov property is studied according to first excursion mechanism. The explicit solution method of the structural seismic reliability is deduced. It is shown from the example that the method of this paper is correct. For the seismic reliabil

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10

Nigbor, Robert L. "Six-degree-of-freedom ground-motion measurement." Bulletin of the Seismological Society of America 84, no. 5 (1994): 1665–69. http://dx.doi.org/10.1785/bssa0840051665.

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Abstract True six-degree-of-freedom (6DOF) measurement of free-field strong ground motion has been accomplished using a prototype 6DOF accelerograph system. This system consists of a traditional triaxial translational accelerometer, three new rotational velocity sensors, and a digital data logger. Rotational and translational ground motions at a single free-field location were measured successfully during the recent NPE event, a very large (1 kton) chemical explosion. Peak vertical acceleration at the near-field measurement site exceeded 1g for this event; the peak measured rotational velocity

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11

Dalay, B. S., V. S. Medvedev, and T. A. Romanova. "Synthesizing Control Systems for Multi-Degree of Freedom Manipulators." Proceedings of the Institution of Mechanical Engineers, Part I: Journal of Systems and Control Engineering 210, no. 1 (1996): 45–50. http://dx.doi.org/10.1243/pime_proc_1996_210_435_02.

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Methods of analysing single input and single output control systems are well established (1). The same is not true of techniques for solving problems involving multi-inputs and multi-outputs. Such problems arise when controlling manipulators having many degrees of freedom. In this paper techniques of control system synthesis for manipulator mechanisms are considered. The method is based on locating the roots of the characteristic equation to give the desired dynamic properties for every link's servo system in the mechanism. Each link is treated independently. Simple examples to illustrate the

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12

Rajagopalan, Jagannathan, and M. Taher A. Saif. "Single Degree of Freedom Model for Thermoelastic Damping." Journal of Applied Mechanics 74, no. 3 (2006): 461–68. http://dx.doi.org/10.1115/1.2338054.

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Finding the thermoelastic damping in a vibrating body, for the most general case, involves the simultaneous solving of the three equations for displacements and one equation for temperature (called the heat equation). Since these are a set of coupled nonlinear partial differential equations there is considerable difficulty in solving them, especially for finite geometries. This paper presents a single degree of freedom (SDOF) model that explores the possibility of estimating thermoelastic damping in a body, vibrating in a particular mode, using only its geometry and material properties, withou

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13

Tolegenov, D. O., and I. M. Polyakova. "SINGLE-DEGREE-OF-FREEDOM VIBRATION ISOLATION SYSTEM WITH ONE ADDITIONAL SUPPORT." Bulletin of Kazakh Leading Academy of Architecture and Construction 92, no. 2 (2024): 164–75. http://dx.doi.org/10.51488/1680-080x/2024.2-12.

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Vibration isolation is one of the most effective methods for reducing vibration levels of supporting structures when installing vibroactive equipment (active vibration isolation) or vibration levels of vibro-sensitive objects relative to foundation vibration levels (passive vibration isolation). Damping devices utilizing high-speed fluid flow through apertures have found wide applications in shock vibration isolation and vibration isolation systems in aerospace and defense sectors. Recent research has led to the development of viscous fluid dampers (VFDs) for use in civil engineering, particul

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14

LEUNG, ANDREW Y. T., JIN CHEN JI, and GUANRONG CHEN. "RESONANCE CONTROL FOR A FORCED SINGLE-DEGREE-OF-FREEDOM NONLINEAR SYSTEM." International Journal of Bifurcation and Chaos 14, no. 04 (2004): 1423–29. http://dx.doi.org/10.1142/s0218127404009843.

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The main characteristic of a forced single-degree-of-freedom weakly nonlinear system is determined by its primary, super- and sub-harmonic resonances. A nonlinear parametric feedback control is proposed to modify the steady-state resonance responses, thus to reduce the amplitude of the response and to eliminate the saddle-node bifurcations that take place in the resonance responses. The nonlinear gain of the feedback control is determined by analyzing the bifurcation diagrams associated with the corresponding frequency-response equation, from the singularity theory approach. It is shown by ill

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15

Qi, Feng, and Zhang Xiang-ting. "The discrete models on a frictional single degree of freedom system." Applied Mathematics and Mechanics 22, no. 8 (2001): 956–64. http://dx.doi.org/10.1007/bf02436395.

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16

Hai, Tran Thanh, and Do Nam. "A single degree of freedom model for cracked beam." Vietnam Journal of Mechanics 45, no. 2 (2023): 183–96. http://dx.doi.org/10.15625/0866-7136/18464.

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This paper presents a simplified model of cracked beam by single-degree-of-freedom system. Equivalence between the beam and SDOF models means that they have the same fundamental natural frequency and similar frequency response functions (FRFs). Similarity of FRFs is checked by using the frequency-domain assurance criterion acknowledged herein as spectral similarity index (SSI). Finally, FRFs of both the cracked beam and its simplified SDOF model have been examined versus crack location and depth using the so-called spectral damage index (SDI). Numerical results show that SDI is significantly s

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17

Biçer, Kübra Erdem. "Solution of the Single Degree of Freedom System Using Bernoulli Collocation Method." Scientific Research Communications 5, no. 1 (2025): 1–10. https://doi.org/10.52460/src.2025.001.

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The fundamental subject of a single degree of freedom system's free vibration is essential in the field of mechanical vibrations, with applications in a wide range of engineering fields. This paper presents a novel numerical method for solving this problem based on Bernoulli polynomials in matrix form. The method is simple to implement and requires only basic linear algebra operations. The method is also very efficient; and can be used to solve problems with the single degree of freedom system. The proposed method isillustrated by a numerical example, and the results are compared with those of

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18

Xu, Zhixiang, and Hideyuki Tamura. "Simulation of Chaotic Vibration of Single-Degree-of-Freedom Magnetic Levitation System." Transactions of the Japan Society of Mechanical Engineers Series C 61, no. 583 (1995): 823–30. http://dx.doi.org/10.1299/kikaic.61.823.

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19

Asfar, K. R., and K. K. Masoud. "Damping of parametrically excited single-degree-of-freedom systems." International Journal of Non-Linear Mechanics 29, no. 3 (1994): 421–28. http://dx.doi.org/10.1016/0020-7462(94)90012-4.

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20

Rice, H. J., and J. A. Fitzpatrick. "The Measurement of Nonlinear Damping in Single-Degree-of-Freedom Systems." Journal of Vibration and Acoustics 113, no. 1 (1991): 132–40. http://dx.doi.org/10.1115/1.2930147.

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The measurement and correct modelling of damping is of crucial importance in the prediction of the dynamical performance of systems for a wide range of engineering applications. In most cases, however, the experimental methods used to measure damping coefficients are extremely basic and, in general, poorly reported. This paper shows that damping is a deceptive parameter which is prone to subtle nonlinear distortion which often appears to satisfy general linear criteria. An efficient experimental method which provides for the measurement of both the linear and nonlinear damping for a single-deg

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21

MATSUSHIMA, Yutaka. "RANDOM RESPONSE OF A SINGLE-DEGREE-OF-FREEDOM SYSTEM WITH BILINEAR HYSTERESIS." Journal of Structural and Construction Engineering (Transactions of AIJ) 420 (1991): 101–10. http://dx.doi.org/10.3130/aijsx.420.0_101.

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22

SHINO, Izumi. "SEISMIC INTENSITY BASED ON VELOCITY RESPONSE OF SINGLE-DEGREE-OF-FREEDOM SYSTEM." Doboku Gakkai Ronbunshuu A 66, no. 4 (2010): 863–73. http://dx.doi.org/10.2208/jsceja.66.863.

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23

Wang, Jingyue, Haotian Wang, and Tie Wang. "External Periodic Force Control of a Single-Degree-of-Freedom Vibroimpact System." Journal of Control Science and Engineering 2013 (2013): 1–8. http://dx.doi.org/10.1155/2013/570137.

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A single-degree-of-freedom mechanical model of vibro-impact system is established. Bifurcation and chaos in the system are revealed with the time history diagram, phase trajectory map, and Poincaré map. According to the bifurcation and chaos of the actual vibro-impact system, the paper puts forward external periodic force control strategy. The method of controlling chaos by external periodic force feedback controller is developed to guide chaotic motions towards regular motions. The stability of the control system is also analyzed especially by theory. By selecting appropriate feedback coeffic

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24

Cveticanin, Livija. "Dynamic buckling of a single-degree-of-freedom system with variable mass." European Journal of Mechanics - A/Solids 20, no. 4 (2001): 661–72. http://dx.doi.org/10.1016/s0997-7538(01)01160-3.

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25

Marino, Luca, and Alice Cicirello. "Experimental investigation of a single-degree-of-freedom system with Coulomb friction." Nonlinear Dynamics 99, no. 3 (2020): 1781–99. http://dx.doi.org/10.1007/s11071-019-05443-2.

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AbstractThis paper presents an experimental investigation of the dynamic behaviour of a single-degree-of-freedom (SDoF) system with a metal-to-metal contact under harmonic base or joined base-wall excitation. The experimental results are compared with those yielded by mathematical models based on a SDoF system with Coulomb damping. While previous experiments on friction-damped systems focused on the characterisation of the friction force, the proposed approach investigates the steady response of a SDoF system when different exciting frequencies and friction forces are applied. The experimental

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26

Baratta, Alessandro. "Dynamics of a single-degree-of-freedom system with a unilateral obstacle." Structural Safety 8, no. 1-4 (1990): 181–94. http://dx.doi.org/10.1016/0167-4730(90)90039-r.

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27

Baradaran-nia, Mehdi, Ghasem Alizadeh, Sohrab Khanmohammadi, and Bahman Farahmand Azar. "Optimal sliding mode control of single degree-of-freedom hysteretic structural system." Communications in Nonlinear Science and Numerical Simulation 17, no. 11 (2012): 4455–66. http://dx.doi.org/10.1016/j.cnsns.2012.01.008.

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28

谢, 俊明. "Development and Research of Single Degree of Freedom Bite Force Test System." Mechanical Engineering and Technology 07, no. 06 (2018): 455–61. http://dx.doi.org/10.12677/met.2018.76056.

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29

TAKAHASHI, Masakazu, and Takayuki WATANABE. "322 The attitude control of single-degree-of-freedom system with supporting." Proceedings of Conference of Tohoku Branch 2005.40 (2005): 136–37. http://dx.doi.org/10.1299/jsmeth.2005.40.136.

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30

Jones, D. I. G. "The impulse response function of a damped single degree of freedom system." Journal of Sound and Vibration 106, no. 2 (1986): 353–56. http://dx.doi.org/10.1016/0022-460x(86)90325-1.

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31

Vergnano, Alberto, Matteo Marsala, Antonio Costantino, and Federico Balugani. "Efficient Simulation of Single Degree of Freedom Servomechanisms for Automatic Machines." Applied Mechanics and Materials 365-366 (August 2013): 921–25. http://dx.doi.org/10.4028/www.scientific.net/amm.365-366.921.

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An automatic manufacturing system design must be optimized with a simulation including all the interacting devices. The simulation should be controlled by the real control system with a hardware in the loop approach. So the techniques for modeling the mechanisms must be effective for the model to be run without violating the real-time protocol. This paper reports a method to model the motor load by means of a reduced moment of inertia, where all the part downstream from the motor output shaft is transformed in function of the only one mechanism degree of freedom. The resulting model behaves as

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32

Zeng, Jiale. "S-curve Velocity Planning For Both Single-Degree-of-Freedom (SDOF) and Five-Degree-of-Freedom (5-DOF) Robotic Arm Systems." Applied and Computational Engineering 142, no. 1 (2025): 170–80. https://doi.org/10.54254/2755-2721/2025.kl22301.

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Robotics has become increasingly prevalent across diverse domains, offering enhanced efficiency and convenience through robotic technologies. Consequently, the investigation of motion planning and control strategies for robotic arms has emerged as a research focus in robotics. This paper presents a comprehensive study and implementation of motion control methodology based on S-curve velocity planning for both single-degree-of-freedom (SDOF) and five-degree-of-freedom (5-DOF) robotic arm systems. The S-curve velocity planning divides motion into three phases: acceleration, constant velocity and

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33

Ahn, Il-Sang, Stuart S. Chen, and Gary F. Dargush. "Dynamic Ratcheting in Elastoplastic Single-Degree-of-Freedom Systems." Journal of Engineering Mechanics 132, no. 4 (2006): 411–21. http://dx.doi.org/10.1061/(asce)0733-9399(2006)132:4(411).

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34

Wilms, E. V. "Three single degree of freedom systems with linear damping." Mechanics Research Communications 22, no. 3 (1995): 233–37. http://dx.doi.org/10.1016/0093-6413(95)00017-l.

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35

Ebrahimi, Nader D. "Optimum dynamic dampers for single-degree-of-freedom systems." Communications in Applied Numerical Methods 3, no. 6 (1987): 519–25. http://dx.doi.org/10.1002/cnm.1630030612.

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36

Gorial, Ivan Isho. "Dynamical analysis and controllers performance evaluation for single degree-of-freedom system." International Journal on Smart Sensing and Intelligent Systems 13, no. 1 (2020): 1–12. http://dx.doi.org/10.21307/ijssis-2020-018.

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37

Tang, Xiaowei, Xilin Fu, and Xiaohui Sun. "Periodic Motion for an Oblique Impact System with Single Degree of Freedom." Journal of Vibration Testing and System Dynamics 3, no. 1 (2019): 71–89. http://dx.doi.org/10.5890/jvtsd.2019.03.006.

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38

Heydon, B. D., A. H. Nayfeh, and W. T. Baumann. "An adaptive quenching algorithm for a nonlinear single-degree-of-freedom system." Nonlinear Dynamics 1, no. 3 (1990): 193–208. http://dx.doi.org/10.1007/bf01858293.

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39

Caverly, Ryan James, and James Richard Forbes. "State estimator design for a single degree of freedom cable-actuated system." Journal of the Franklin Institute 353, no. 18 (2016): 4845–69. http://dx.doi.org/10.1016/j.jfranklin.2016.08.015.

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40

Chae, Yunbyeong, James M. Ricles, and Richard Sause. "Development of equivalent linear systems for single-degree-of-freedom structures with magneto-rheological dampers for seismic design application." Journal of Intelligent Material Systems and Structures 28, no. 19 (2017): 2675–87. http://dx.doi.org/10.1177/1045389x17698240.

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Numerous studies have been conducted for magneto-rheological dampers, but the application of magneto-rheological dampers in seismic design is limited due to the lack of a systematical design procedure. In this article, a simplified analysis procedure is proposed to estimate the response of a single-degree-of-freedom structure with diagonal bracing and a magneto-rheological damper without performing the time history analysis. The proposed simplified analysis procedure is based on the equivalent linear system of a magneto-rheological damper. The equivalent damping ratio and the effective period

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41

SAVI, M. A., and P. M. C. L. PACHECO. "CHAOS AND HYPERCHAOS IN SHAPE MEMORY SYSTEMS." International Journal of Bifurcation and Chaos 12, no. 03 (2002): 645–57. http://dx.doi.org/10.1142/s0218127402004607.

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Shape memory and pseudoelastic effects are thermomechanical phenomena associated with martensitic phase transformations, presented by shape memory alloys. The dynamical analysis of intelligent systems that use shape memory actuators involves a multi-degree of freedom system. This contribution concerns with the chaotic response of shape memory systems. Two different systems are considered: a single and a two-degree of freedom oscillator. Equations of motion are formulated assuming a polynomial constitutive model to describe the restitution force of oscillators. Since equations of motion of the

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42

Muravyov, A., and S. G. Hutton. "Free Vibration Response Characteristics of a Simple Elasto-Hereditary System." Journal of Vibration and Acoustics 120, no. 2 (1998): 628–32. http://dx.doi.org/10.1115/1.2893873.

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An analysis is conducted of the free vibration response characteristics of a single-degree-of-freedom (SDOF) elasto-hereditary (viscoelastic) system. The viscoelasticity is characterized by a relaxation kernel consisting of one exponential term. For this problem analytical results are presented that define the regions of oscillatory and nonoscillatory response. A possible application of the described technique to multi-degree-of-freedom diagonalizable viscoelastic systems is shown.

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43

Luintel, Mahesh Chandra. "Direct Method for the Determination of Coefficients of Characteristic Equation of a MDOF System." Journal of the Institute of Engineering 15, no. 2 (2019): 26–31. http://dx.doi.org/10.3126/jie.v15i2.27638.

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Dynamic response of any single degree of freedom (SDOF) vibratory system is studied by evaluating its natural frequencies whereas that of any multi degree of freedom (MDOF) vibratory system is studied by evaluating its natural frequencies and corresponding mode shapes. Efficient method to determine the natural frequencies and mode shape of a MDOF system is to determine its dynamic matrix and to calculate its eigen-values and eigen-vectors. As the number of degree of freedom (DOF) of the system increases, the size of the dynamic matrix increases and the use of a computer program or package beco

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44

Webb, Steven G., and M. Scott Trimboli. "Design tradeoffs for a single degree of freedom structure." Dynamics and Control 3, no. 4 (1993): 387–400. http://dx.doi.org/10.1007/bf01968541.

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45

He, B. C., Y. Zhang, L. Li, Y. A. Luo, F. Pan, and J. P. Draayer. "SD-pair shell model: Vibrational and rotational limits in the interacting boson–fermion model for like-nucleon system." International Journal of Modern Physics E 29, no. 10 (2020): 2050088. http://dx.doi.org/10.1142/s0218301320500883.

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Typical features of the Bose–Fermi symmetries associated with [Formula: see text] and [Formula: see text] limits in the interacting boson model are described in the SD-pair shell model (SDPSM) framework for like-nucleon system. It is found that the limiting spectra associated with [Formula: see text] (vibrational) and [Formula: see text] (rotational) in the interacting boson–fermion model can be well reproduced in the SDPSM framework. It is shown that coupling of collective degree of freedom with the single-particle degree of freedom in the pairing interaction almost has no effect on the spect

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46

Figuli, Lucia, and Daniel Papán. "Single Degree of Freedom Analysis of Steel Beams under Blast Loading." Applied Mechanics and Materials 617 (August 2014): 92–95. http://dx.doi.org/10.4028/www.scientific.net/amm.617.92.

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The paper deals with the analysis of steel beams subjected to blast load approximated as a one degree system of freedom (SDOF). It requires knowing the parameters of blast pressure wave, its effect on structure and the tools for the solution of dynamic analysis. The blast wave is estimated with linear decay and exponential decay using positive and negative phase. The results of SDOF model are compared with the corresponding experimental accelerations and strain time-histories. There is a described dynamic analysis for such structure.

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47

SHINTANI, Masanori. "Accumulated damage valuation by the response factor of a single-degree-of-freedom and two-degree-of-freedom system (Stationary random process)." Transactions of the Japan Society of Mechanical Engineers Series C 51, no. 470 (1985): 2497–504. http://dx.doi.org/10.1299/kikaic.51.2497.

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48

Inoue, Masanobu, Isao Yokomichi, and Koju Hiraki. "Particle Damping with Granular Materials for Multi Degree of Freedom System." Shock and Vibration 18, no. 1-2 (2011): 245–56. http://dx.doi.org/10.1155/2011/309682.

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A particle damper consists of a bed of granular materials moving in cavities within a multi degree-of-freedom (MDOF) structure. This paper deals with the damping effects on forced vibrations of a MDOF structure provided with the vertical particle dampers. In the analysis, the particle bed is assumed to be a single mass, and the collisions between the granules and the cavities are completely inelastic, i.e., all energy dissipation mechanisms are wrapped into zero coefficient of restitution. To predict the particle damping effect, equations of motion are developed in terms of equivalent single d

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49

Cristea, G. "Fuzzy dynamic analysis of single degree of freedom nonlinear systems." Computers & Structures 63, no. 6 (1997): 1101–11. http://dx.doi.org/10.1016/s0045-7949(96)00425-7.

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50

Gupta, Abhinav, and Ajaya K. Gupta. "Seismic response of tuned single degree of freedom secondary systems." Nuclear Engineering and Design 172, no. 1-2 (1997): 17–25. http://dx.doi.org/10.1016/s0029-5493(96)00003-9.

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