Gotowe bibliografie tematyczne / A single degree-of-freedom system

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  1. Artykuły w czasopismach
  2. Rozprawy doktorskie
  3. Książki
  4. Części książek
  5. Streszczenia konferencji
  6. Raporty organizacyjne

Gotowa bibliografia na temat „A single degree-of-freedom system”

Autor: Grafiati
Data publikacji: 3 czerwca 2025
Data aktualizacji: 31 lipca 2025

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Artykuły w czasopismach na temat "A single degree-of-freedom system"

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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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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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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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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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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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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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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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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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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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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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Rozprawy doktorskie na temat "A single degree-of-freedom system"

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Olson, Sean Michael. "Nonlinear compensation of a single degree of freedom magnetic suspension system." Thesis, Massachusetts Institute of Technology, 1994. http://hdl.handle.net/1721.1/12067.

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Aggarwal, Sanjay Kumar. "Bandwidth maximization of a single degree of freedom magnetic suspension system." Thesis, Massachusetts Institute of Technology, 1995. http://hdl.handle.net/1721.1/11606.

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Srinivasa, Manjunath Cheekur. "Nonlinear Structure Identification of Single Degree of Freedom System Using NARMAX Algorithm." University of Cincinnati / OhioLINK, 2017. http://rave.ohiolink.edu/etdc/view?acc_num=ucin1504872945338834.

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Vess, Melissa Elaine Fleck. "System modeling and controller design for a single degree of freedom spacecraft simulator." College Park, Md. : University of Maryland, 2005. http://hdl.handle.net/1903/2517.

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Thesis (M.S.) -- University of Maryland, College Park, 2005.<br>Thesis research directed by: Dept. of Aerospace Engineering. Title from t.p. of PDF. Includes bibliographical references. Published by UMI Dissertation Services, Ann Arbor, Mich. Also available in paper.
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Gregerson, David Lee. "An investigation of chaos in a single-degree-of-freedom slider-crank mechanism." Thesis, Georgia Institute of Technology, 1989. http://hdl.handle.net/1853/16805.

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Slein, Ryan Michael. "Evaluation of Strength Reduction Factor for Concentrically Braced Frames Based on Nonlinear Single Degree-of-Freedom Systems." DigitalCommons@CalPoly, 2016. https://digitalcommons.calpoly.edu/theses/1532.

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Strength Reduction Factor (R-Factor), often referred to as Response Modification Factor, is commonly used in the design of lateral force resisting systems under seismic loading. R-Factors allow for a reduction in design base shear demands, leading to more economical designs. The reduction of strength is remedied with ductile behavior in members of proper detailing. Modern seismic codes and provisions recommend R-Factors for many types of lateral force resisting systems. However these factors are independent of the system fundamental frequency and many other important system properties, resulti
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Sunny, Ajin. "SINGLE-DEGREE-OF-FREEDOM EXPERIMENTS DEMONSTRATING ELECTROMAGNETIC FORMATION FLYING FOR SMALL SATELLITE SWARMS USING PIECEWISE-SINUSOIDAL CONTROLS." UKnowledge, 2019. https://uknowledge.uky.edu/me_etds/146.

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This thesis presents a decentralized electromagnetic formation flying (EMFF) control method using frequency-multiplexed sinusoidal control signals. We demonstrate the EMFF control approach in open-loop and closed-loop control experiments using a single-degree-of-freedom testbed with an electromagnetic actuation system (EAS). The EAS sense the relative position and velocity between satellites and implement a frequency-multiplexed sinusoidal control signal. We use a laser-rangefinder device to capture the relative position and an ARM-based microcontroller to implement the closed-loop control alg
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De, Samrat. "Effect of Variation of the Systemic Parameters on the Structural Response of Single Degree of Freedom Systems Subjected to Incremental Dynamic Analysis." Thesis, Virginia Tech, 2003. http://hdl.handle.net/10919/9730.

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This thesis presents the results of a study of the effect of variations of systemic parameters on the structural response of single degree of freedom systems subjected to Incremental Dynamic Analysis. The systemic parameters are mass, stiffness, damping, yield strength and geometric stiffness. Each of these parameters was varied one at a time while the other values were kept constant. For each variation of parameters a set of single-record IDA curves was obtained. Five to six ground motions were used for this study to generate the single-record IDA curves. These ground motions were scaled prio
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Wedding, William Chad. "EXPERIMENTAL STUDY OF BLAST RESISTANT GLAZING SYSTEM RESPONSE TO EXPLOSIVE LOADING." UKnowledge, 2010. http://uknowledge.uky.edu/gradschool_theses/31.

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This thesis recounts the experimental study of the dynamic response of a blast resistant glazing system to explosive loading. A combination of triaxial force sensors, pressure gauges, and laser displacement gauges capture the response in detail over a wide range of scenarios. The scenarios include low level blast loading to characterize the reaction at points around the perimeter of the window, moderate level blast loading to examine the repeatability of the blast scenario, and high level blast loading to capture the response during failure as the tensile membrane forms. The scenarios are mode
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Maldonado, Gustavo Omar. "Stochastic response of single degree of freedom hysteretic oscillators." Thesis, Virginia Tech, 1987. http://hdl.handle.net/10919/45804.

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During strong ground shaking structures often become inelastic and respond hysteretically. Therefore, in this study some hysteretic models commonly used in seismic structural analysis are studied. In particular the characteristics of a popular endochronic model proposed by Bouc and Wen are examined in detail. In addition, analytical expressions have also been developed for most commonly used bilinear model as well as another model, herein called as the hyperbolic model.</p><br>Master of Science
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Książki na temat "A single degree-of-freedom system"

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Ebeling, Robert M. Accuracy of response of single-degree-of-freedom systems to ground motion. U.S. Army Engineer Waterways Experiment Station, 1997.

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Oran, Nicks Colby, and Langley Research Center, eds. Six degree-of-freedom "live" isolation system tests. National Aeronautics and Space Administration, Langley Research Center, 1986.

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Oran, Nicks Colby, and Langley Research Center, eds. Six degree-of-freedom "live" isolation system tests. National Aeronautics and Space Administration, Langley Research Center, 1986.

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Sahler, Erica. Analysis of a single-degree-of-freedom roll motion model: Simulation, sensitivity study, and comparison to multi-degree-of-freedom models. Available from National Technical Information Service, 1996.

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United States. National Aeronautics and Space Administration., ed. Dynamics and control of a five degree-of-freedom magnetic suspension system. Old Dominion University Research Foundation, 1992.

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Center, Langley Research, ed. Simplified analytical model of a six-degree-of-freedom large-gap magnetic suspension system. National Aeronautics and Space Administration, Langley Research Center, 1997.

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Murav'ev, Dmitriy, Aleksandr Rahmangulov, Nikita Osincev, Sergey Kornilov, and Aleksandr Cyganov. The system "seaport - "dry" port". INFRA-M Academic Publishing LLC., 2022. http://dx.doi.org/10.12737/1816639.

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The monograph presents an approach to solving the problem of increasing the throughput and processing capacity of seaports in conditions of limiting their territorial dislocation and increasing the unevenness of external and internal cargo flows. The basis of the approach is the proposed system of the main parameters of the dry port and the methodology of simulation modeling of the functioning of the system "seaport - dry port". The material is illustrated with examples of the implementation of the developed approach, including model scenarios of multi-agent optimization of the parameters of t
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United States. National Aeronautics and Space Administration., ed. Research related to multi degree of freedom magnetic suspensions: A thesis ... National Aeronautics and Space Administration, 1997.

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United States. National Aeronautics and Space Administration., ed. Research related to multi degree of freedom magnetic suspensions: A thesis ... National Aeronautics and Space Administration, 1997.

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Ovtov, Vladimir. Machine parts. Course design. INFRA-M Academic Publishing LLC., 2021. http://dx.doi.org/10.12737/1171976.

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The textbook discusses the methodology of course design of general-purpose drives with a single-stage gearbox (cylindrical, conical and worm) and a V-belt or chain transmission. The procedure for calculating gears and constructing assembly drawings of gearboxes is shown, the development of specifications using the COMPASS-3D computer-aided design system is described. Examples of the design of drawings of the general type of the drive, assembly drawings of gearboxes and working drawings of parts of various types of gearboxes are given.&#x0D; Meets the requirements of the federal state education
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Części książek na temat "A single degree-of-freedom system"

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Wijker, Jaap. "Single Degree of Freedom System." In Mechanical Vibrations in Spacecraft Design. Springer Berlin Heidelberg, 2004. http://dx.doi.org/10.1007/978-3-662-08587-5_2.

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Paz, Mario. "Undamped Single Degree-of-Freedom System." In Structural Dynamics. Springer US, 1991. http://dx.doi.org/10.1007/978-1-4684-9907-0_1.

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Paz, Mario. "Damped Single Degree-of-Freedom System." In Structural Dynamics. Springer US, 1991. http://dx.doi.org/10.1007/978-1-4684-9907-0_2.

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Paz, Mario, and William Leigh. "Undamped Single Degree-of-Freedom System." In Structural Dynamics. Springer US, 2004. http://dx.doi.org/10.1007/978-1-4615-0481-8_1.

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Paz, Mario, and William Leigh. "Damped Single Degree-of-Freedom System." In Structural Dynamics. Springer US, 2004. http://dx.doi.org/10.1007/978-1-4615-0481-8_2.

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Paz, Mario, and Young Hoon Kim. "Undamped Single Degree-of-Freedom System." In Structural Dynamics. Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-94743-3_1.

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Paz, Mario, and Young Hoon Kim. "Damped Single Degree-of-Freedom System." In Structural Dynamics. Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-94743-3_2.

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Manik, Dhanesh N. "Single-Degree-of-Freedom (SDOF) System." In Vibro-Acoustics. CRC Press, 2017. http://dx.doi.org/10.1201/9781315156729-1.

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Paz, Mario. "Undamped Single Degree-of-Freedom System." In Structural Dynamics. Springer US, 1997. http://dx.doi.org/10.1007/978-1-4684-0018-2_1.

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Paz, Mario. "Damped Single Degree-of-Freedom System." In Structural Dynamics. Springer US, 1997. http://dx.doi.org/10.1007/978-1-4684-0018-2_2.

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Streszczenia konferencji na temat "A single degree-of-freedom system"

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McIntosh, Roy, Rickey Dubay, and Phil Garland. "A Solution to the Response of a Single Degree of Freedom System to Swept Sine Inputs." In 2025 IEEE International systems Conference (SysCon). IEEE, 2025. https://doi.org/10.1109/syscon64521.2025.11014862.

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Hong, Yehua, and Xianger Li. "Probing the forced vibration of floaters and oscillators in a wave energy device in a single-degree-of-freedom system with different forms of damping coefficients." In 2024 3rd International Conference on Electronics and Information Technology (EIT). IEEE, 2024. http://dx.doi.org/10.1109/eit63098.2024.10762187.

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Pandeng, Zhang, Liu Zhao, Zhang Tianfei, et al. "Single-Degree-of-Freedom Dynamic Vibration Absorber for Unknown System." In ASME 2018 13th International Manufacturing Science and Engineering Conference. American Society of Mechanical Engineers, 2018. http://dx.doi.org/10.1115/msec2018-6535.

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Vibration causes problems, and the technology of dynamic vibration absorber is always used to control it. So far, the technology is mature, but based on the known of modes, mass, stiffness, damping and other parameters of the vibration system. For an unknown system or complicated system, how to use this technology is what the paper mainly discusses. The dynamic vibration absorber of this paper is a single-degree-of-freedom, and only one direction is to be controlled. The evaluation function is the ratio between the system vibration response after adding dynamic vibration absorber and the origi
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Hatheway, Alson E. "Single-degree-of-freedom actuator system for controlling Fabry-Perot etalons." In SPIE's 1996 International Symposium on Optical Science, Engineering, and Instrumentation, edited by Alson E. Hatheway. SPIE, 1996. http://dx.doi.org/10.1117/12.259029.

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Li, Liyi, Mingyi Wang, Jiwei Cao, and Jiaxi Liu. "Current control for the single degree of freedom linear maglev system." In 2014 17th International Conference on Electrical Machines and Systems (ICEMS). IEEE, 2014. http://dx.doi.org/10.1109/icems.2014.7013678.

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Qu, C., H. Li, and L. Huo. "Performance Estimation for Multi Degree of Freedom Structure with Negative Stiffness by A Bilinear Elastic Single Degree of Freedom System." In The Fifth International Symposium on Life-Cycle Engineering (IALCCE 2016). CRC Press, 2016. http://dx.doi.org/10.1201/9781315375175-358.

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Besselink, Bart, Amit Shukla, Rob Fey, and Henk Nijmeijer. "Classification of Periodic Solutions in a Single-Degree-of-Freedom System With Backlash." In ASME 2007 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2007. http://dx.doi.org/10.1115/detc2007-34236.

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In this paper a single degree-of-freedom system with backlash is studied for its periodic response. This system is modeled as a piecewise linear system with discontinuity in the net restoring force, caused by additional damping in the contact-zone. The periodic orbits are classified by their number of subspace boundary crossings and Floquet multipliers. For this classification, the known analytical solutions in the different subspaces are used in the multiple shooting algorithm and a continuation method. Some observations are also presented about the qualitative features (such as symmetry, rig
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Oueini, Shafic S., and Ali H. Nayfeh. "Control of a single-degree-of-freedom system under principal parametric excitation." In 5th Annual International Symposium on Smart Structures and Materials, edited by Mark E. Regelbrugge. SPIE, 1998. http://dx.doi.org/10.1117/12.316937.

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Sharma, Manu, and S. P. Singh. "Fuzzy logic based vibration control of a single degree of freedom system." In 2014 Recent Advances in Engineering and Computational Sciences (RAECS). IEEE, 2014. http://dx.doi.org/10.1109/raecs.2014.6799512.

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Wang, Weijie. "Research and analysis of single-degree-of-freedom magnetic liquid acceleration sensors." In Ninth International Symposium on Sensors, Mechatronics, and Automation System (ISSMAS 2023), edited by Lijia Pan and Zaifa Zhou. SPIE, 2024. http://dx.doi.org/10.1117/12.3014765.

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Raporty organizacyjne na temat "A single degree-of-freedom system"

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Ebeling, Robert M., Russell A. Green, and Samuel E. French. Accuracy of Response of Single-Degree-of-Freedom Systems to Ground Motion. Defense Technical Information Center, 1997. http://dx.doi.org/10.21236/ada336674.

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Ravani, Bahram. Classification and Simulation of Single and Multi-Degree-of-Freedom Motions. Defense Technical Information Center, 1989. http://dx.doi.org/10.21236/ada214925.

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Sahler, Erica. Analysis of a Single-Degree-of-Freedom Roll Motion Model: Simulation, Sensitivity Study, and Comparison to Multi-Degree-of-Freedom Models,. Defense Technical Information Center, 1996. http://dx.doi.org/10.21236/ada310335.

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Moghimi, Gholamreza, and Nicos Makris. Response Modification of Structures with Supplemental Rotational Inertia. Pacific Earthquake Engineering Research Center, University of California, Berkeley, CA, 2024. http://dx.doi.org/10.55461/tihv1701.

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Tall, multistory, buildings are becoming increasingly popular in large cities as a result of growing urbanization trends (United Nations Department of Economic and Social Affairs 2018). As cities continue to grow, many of them along the coasts of continents which are prone to natural hazards, the performance of tall, flexible buildings when subjected to natural hazards is a pressing issue with engineering relevance. The performance of structures when subjected to dynamic loads can be enhanced with various response modification strategies which have been traditionally achieved with added stiffn
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Miklin, Eric. The Populist Radical-right Freedom Party in the Austrian 2024 EU elections. European Center for Populism Studies (ECPS), 2024. http://dx.doi.org/10.55271/rp0061.

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The only competitive populist party running in the 2024 EU elections in Austria, the radical-right Freedom Party of Austria (FPÖ) relied on well-proven recipes that have made it one of the most successful populist parties in (Western) Europe for the last 30 years. It called for cutting down the EU’s competences to half the size of its institutions and budget and harshly criticized its policies concerning migration, the war in Ukraine, the climate crisis and the COVID-19 pandemic. This criticism was combined with a highly alarmist rhetoric that portrayed political opponents as either corrupt, f
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Beard, George. New Mobility - Alternative transport for better outcomes. TRL, 2021. http://dx.doi.org/10.58446/ykrl1775.

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Freedom of movement is enshrined in Article 13 of the Universal Declaration of Human Rights. The expression of this right relies on there being accessible and safe transport available for people to use. Furthermore, transport underpins the fundamental needs of society to move goods and people around. Transport is not performing as well as it could. In many ways the freedom of movement for people and goods that transport supports is now more damaging than it needs to be to the environment, to the economy, and to people. TRL’s vision for new mobility is a transport system that provides better ch
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Zareian, Farzin, and Joel Lanning. Development of Testing Protocol for Cripple Wall Components (PEER-CEA Project). Pacific Earthquake Engineering Research Center, University of California, Berkeley, CA, 2020. http://dx.doi.org/10.55461/olpv6741.

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This report is one of a series of reports documenting the methods and findings of a multi-year, multi-disciplinary project coordinated by the Pacific Earthquake Engineering Research Center (PEER) and funded by the California Earthquake Authority (CEA). The overall project is titled “Quantifying the Performance of Retrofit of Cripple Walls and Sill Anchorage in Single-Family Wood-Frame Buildings,” henceforth referred to as the “PEER–CEA Project.” The overall objective of the PEER–CEA project is to provide scientifically-based information (e.g., testing, analysis, and resulting loss models) that
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ตั้งชวาล, สง่า, та ฉดับ ปัทมสูต. ผลกระทบเนื่องจากความไม่ต่อเนื่องในหิน ที่มีต่อการระเบิดและการสั่นสะเทือน. จุฬาลงกรณ์มหาวิทยาลัย, 1996. https://doi.org/10.58837/chula.res.1996.26.

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การประยุกต์วิธีการหาค่าเฉลี่ยที่แท้จริงของระนาบความไม่ต่อเนื่องของมวลหินในภาคสนามได้ถูกนำเสนอเพื่อวิเคราะห์เชิงสถิติของความถูกต้องแม่นยำของ spherical distribution data ทฤษฎีเบื้องต้นของการสั่นสะเทือนและหลักการคำนวณในภาวะ Single Degree of Freedom และ Multi-Degree of Freedom ได้ถูกนำมาทบทวน คณะผู้วิจัยได้รวบรวมสมการแบบจำลองการสั่นสะเทือนหลายรูปแบบ เพื่อความรวดเร็วและแม่นยำ โปรแกรมคอมพิวเตอร์ภาษาซี (C) ได้ถูกพัฒนาขึ้นเพื่อคาดคะเนผลการสั่นสะเทือนและผลกระทบอื่นต่อสิ่งแวดล้อมจากการระเบิดหิน ขั้นตอนสุดท้ายของการตัดสินใจหาค่าช่วงระยะปลอดภัยจากผลกระทบต่างๆ ได้มีการวิเคราะห์ตัวแปรหลายชนิดอย่างเป็นขั้นตอ
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Davidson, James S., David P. Ray, and Robert J. Dinan. Development of a Single-Degree-of-Freedom (SDOF) Model for an Aluminum Arch Subjected to Impulse Loads. Defense Technical Information Center, 2007. http://dx.doi.org/10.21236/ada591511.

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ตั้งชวาล, สง่า, ฉดับ ปัทมสูต та มัณฑนา ปราการสมุทร. การพัฒนาแบบจำลองการสั่นสะเทือนเนื่องจากการระเบิด : รายงานฉบับสมบูรณ์. จุฬาลงกรณ์มหาวิทยาลัย, 1995. https://doi.org/10.58837/chula.res.1995.25.

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การสั่นสะเทือนเนื่องจากคลื่นพัลส์ที่เป็นคลื่นกระแทกเนื่องจากการระเบิดได้ถูกนำมาพิจารณาเพื่อเป็นแนวทางพัฒนาแบบจำลองการสั่นสะเทือนชั่วครู่ ระบบที่ถูกเลือกมีทั้งระบบ Single Degree of Freedom กับระบบ Multidegree of Freedom มีการวิเคราะห์เชิง numerical เพื่อหา solution ที่เหมาะสมที่สุดของคลื่นกระแทกที่แสดงเป็น response spectrum โปรแกรมแบบจำลองที่เขียนเพื่อจำลองทั้งของระบบ SDF และ N-DOF เป็น package program โดยใชัภาษา C++ ซึ่งมีการทำงานภายใต้ Microsoft Windows version 3.1 Thai Edition
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