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Journal articles on the topic 'Mass spring model'

Author: Grafiati

Published: 4 June 2021

Last updated: 7 February 2022

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1

Chen, Yuanwei, Bing He, and Xuefu Yu. "Research on Garment Wrinkle Synthetic Method Based on Mass-Spring Model." International Journal of Materials, Mechanics and Manufacturing 3, no. 4 (2015): 270–74. http://dx.doi.org/10.7763/ijmmm.2015.v3.209.

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2

Wu, Li Xiang, Xing Min Hou, and Jia Zhang. "Mass-Spring-Damping Model of Saturated Sands." Applied Mechanics and Materials 170-173 (May 2012): 153–58. http://dx.doi.org/10.4028/www.scientific.net/amm.170-173.153.

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Based on the theory of elastic wave in saturated soils, the vertical vibration of a rigid circular footing resting on saturated sands is studied to obtain its analytical solution of dynamic compliance coefficients. Considering the role of water in the soil, the mass-spring-damping model of saturated sands is proposed to realize a practical way for engineering. And the stiffness and damping coefficients of model are calculated by reciprocity law equation. Compared with the solution of elastic half-space with the same Poisson’s ratio, the coefficients of the saturated sands are quite large. To comply with engineering practice, the approximate formula should be modified with multiplying them by factor in the Code for Dynamic Machine Foundation Design.

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3

KOT, Maciej, Hiroshi NAGAHASHI, and Krzysztof GRACKI. "Resolution Scaling for Mass Spring Model Simulations." IEICE Transactions on Information and Systems E97.D, no. 8 (2014): 2138–46. http://dx.doi.org/10.1587/transinf.e97.d.2138.

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4

Smith, G. A., and P. Watanatada. "MASS-SPRING MODEL WITH TIME-VARYING STIFFNESS." Medicine & Science in Sports & Exercise 35, Supplement 1 (May 2003): S129. http://dx.doi.org/10.1097/00005768-200305001-00708.

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5

Selle, Andrew, Michael Lentine, and Ronald Fedkiw. "A mass spring model for hair simulation." ACM Transactions on Graphics 27, no. 3 (August 2008): 1–11. http://dx.doi.org/10.1145/1360612.1360663.

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6

Pellicer, M., and J. Solà-Morales. "Analysis of a viscoelastic spring–mass model." Journal of Mathematical Analysis and Applications 294, no. 2 (June 2004): 687–98. http://dx.doi.org/10.1016/j.jmaa.2004.03.008.

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7

Yang, Jian Dong, and Shu Yuan Shang. "Cloth Modeling Simulation Based on Mass Spring Model." Applied Mechanics and Materials 310 (February 2013): 676–83. http://dx.doi.org/10.4028/www.scientific.net/amm.310.676.

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The crucial problem in cloth simulation based on Physical model is how to solve the motion differential equations. Mass spring model is ideal and it is widely used in cloth simulation. The simulation technology of cloth modeling based on mass spring model is presented completely, fabric mechanics models are established precisely, and several kinds of explicit numerical integration are compared in detail, especially, using RK-4 method can greatly improve system’s stability. This cloth simulation method is applied to cloth software. Examples have proved that this method is advanced and practical.

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8

Chahyadi, Hendry D. "Simulation and Analysis of Two-Mass Suspension Modification Using MATLAB Programming." ACMIT Proceedings 3, no. 1 (March 18, 2019): 160–65. http://dx.doi.org/10.33555/acmit.v3i1.39.

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The designs of automotive suspension system are aiming to avoid vibration generated by road condition interference to the driver. This final project is about a quarter car modeling with simulation modeling and analysis of Two-Mass modeling. Both existing and new modeling are being compared with additional spring in the sprung mass system. MATLAB program is developed to analyze using a state space model. The program developed here can be used for analyzing models of cars and vehicles with 2DOF. The quarter car modelling is basically a mass spring damping system with the car serving as the mass, the suspension coil as the spring, and the shock absorber as the damper. The existing modeling is well-known model for simulating vehicle suspension performance. The spring performs the role of supporting the static weight of the vehicle while the damper helps in dissipating the vibrational energy and limiting the input from the road that is transmitted to the vehicle. The performance of modified modelling by adding extra spring in the sprung mass system provides more comfort to the driver. Later on this project there will be comparison graphic which the output is resulting on the higher level of damping system efficiency that leads to the riding quality.

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YUAN, ZHIYONG, SHIKUN FENG, QIAN YIN, XIALI WANG, DENGYI ZHANG, JIANHUI ZHAO, and MIANYUN CHEN. "ENDOSCOPIC IMAGE CUTTING SIMULATION BASED ON MASS-SPRING MODEL AND COMPUTATIONAL GEOMETRY." Journal of Circuits, Systems and Computers 18, no. 08 (December 2009): 1453–65. http://dx.doi.org/10.1142/s0218126609005782.

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As minimally invasive surgical techniques become widely known to patients, medical training systems based on virtual simulation are highly desired. These systems help surgeon trainees to acquire, practice and evaluate their surgical skills. A key component in a virtual training system is to simulate the dynamics that occur in surgical procedures. Tissue cutting, as a common phenomenon during surgery, has attracted many research efforts in computer simulation. In this paper, we propose an approach to endoscopic image cutting simulation which is based on both mass-spring model and Computational Geometry. In the cutting simulation model, the springs to be cut off are imagined into line segments. In the calculation of the elastic force on mass points, we have found that whether some adjacent springs of a mass point to be eliminated or not during a cutting is critical. If a spring intersects the cutting plane, we set the elastic force of this spring to zero. We adopted properties of cross product and related algorithms (the rapid exclusion test, the crossover test) in Computational Geometry to determine the springs that are intersected with the cutting plane. And then, we utilized the bilinear interpolation and OpenGL techniques to render the cutting procedure of the soft tissue. The experimental results show that our cutting simulation is effective and practical.

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10

ABE, Hideki, Shinichi SAZAWA, Masayoshi HASHIMA, and Yuichi SATO. "3316 A Mass-Spring Model Approach for Interactive Simulation of Wire Harnesses." Proceedings of Design & Systems Conference 2008.18 (2008): 582–87. http://dx.doi.org/10.1299/jsmedsd.2008.18.582.

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11

LI, Jian, Peng-kun LI, and Qiu-jun LIAO. "Cloth simulation based on improved mass-spring model." Journal of Computer Applications 29, no. 9 (November 13, 2009): 2386–88. http://dx.doi.org/10.3724/sp.j.1087.2009.02386.

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12

Li, Penggao, Gang Xu, Ran Ling, Zhoufang Xiao, Jinlan Xu, and Qing Wu. "Fabric Dynamic Simulation by Isogeometric Mass-Spring Model." Journal of Computer-Aided Design & Computer Graphics 31, no. 6 (2019): 911. http://dx.doi.org/10.3724/sp.j.1089.2019.17407.

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13

Antoine, Charles, and Véronique Pimienta. "Mass-Spring Model of a Self-Pulsating Drop." Langmuir 29, no. 48 (November 19, 2013): 14935–46. http://dx.doi.org/10.1021/la403678r.

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14

Richard Nichols, T. "Is “The Mass-Spring Model” a Testable Hypothesis?" Journal of Motor Behavior 17, no. 4 (December 1985): 499–500. http://dx.doi.org/10.1080/00222895.1985.10735365.

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15

Li, Jituo, Dongliang Zhang, Guodong Lu, Yanying Peng, Xing Wen, and Yoshiyuki Sakaguti. "Flattening triangulated surfaces using a mass-spring model." International Journal of Advanced Manufacturing Technology 25, no. 1-2 (May 19, 2004): 108–17. http://dx.doi.org/10.1007/s00170-003-1818-4.

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16

Blickhan, R. "The spring-mass model for running and hopping." Journal of Biomechanics 22, no. 11-12 (January 1989): 1217–27. http://dx.doi.org/10.1016/0021-9290(89)90224-8.

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17

Li, Xinxin, Aijun Zhang, Pibo Ma, Honglian Cong, and Gaoming Jiang. "Structural deformation behavior of Jacquardtronic lace based on the mass-spring model." Textile Research Journal 87, no. 10 (August 11, 2016): 1242–50. http://dx.doi.org/10.1177/0040517516651103.

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To simulate the structural deformation behavior of Jacquardtronic lace, which is formed on a multibar Jacquard Raschel machine and is widely used in female fashion, the key influencing factors on structural deformation were introduced and a tailored mass-spring model was built in which the lace was considered to be numbers of evenly distributed particles connected by elastane springs. These springs covered structural springs, restriction springs and spiral springs, respectively, created for ground pillars, Jacquard inlays, pattern lapping and elastane yarns. The elastane force on particles was analyzed to study motion state and deformation behavior with the explicit Euler method. The deformation simulated models were implemented by a simulator program via Visual C++ and were tested with a lace sample. Particular attention was paid to analyzing the effect of Jacquard structures and yarn tension on deformation and the detection model was introduced to avoid improper deformation caused by excessive yarn tension. The simulation results showed practicability and efficiency when compared with the real sample.

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18

Omar, Mohd Nadzeri, and Yongmin Zhong. "Flexible Mass Spring Method for Modelling Soft Tissue Deformation." International Journal of Engineering Technology and Sciences 7, no. 2 (July 3, 2021): 24–41. http://dx.doi.org/10.15282/ijets.7.2.2020.1003.

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It is well accepted that soft tissue deformation is a combination of linear and nonlinear response. During small displacements, soft tissues deform linearly while during large displacements, soft tissues show nonlinear deformation. This paper presents a new approach for modelling of soft tissue deformation, from the standpoint of Mass Spring Method (MSM). The proposed MSM model is developed using conical spring methodology which allow the MSM model to have different stiffnesses at different displacements during deformation. The stiffness variation creates flexibility in the model to simulate any linear and nonlinear deformations. Experimental results demonstrate that the deformations by the proposed method are in good agreement with those real and phantom soft tissue deformations. Isotropic and anisotropic deformations can be accommodated by the proposed methodology via conical spring geometry and configuration of the springs. The proposed model also able to simulate typical viscoelastic behaviour of soft tissue.

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19

Ko, Koeng Wook, Hyun Soo Kim, Sung In Bae, Eui Seok Kim, and Yuan Shin Lee. "Determination of Spring Constant for Simulating Deformable Object under Compression." Key Engineering Materials 417-418 (October 2009): 369–72. http://dx.doi.org/10.4028/www.scientific.net/kem.417-418.369.

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It is not easy to simulate realistic mechanical behaviors of elastically deformable objects with most existing mass-spring systems for their lack of simple and clear methods to determine spring constants considering material properties (e.g. Young's modulus, Poisson’s ratio). To overcome this obstacle, we suggest an alternative method to determine spring constants for mechanical simulation of deformable objects under compression. Using the expression derived from proposed method, it is possible to determine one and the same spring constant for a mass-spring model depending on Young's modulus, geometric dimensions and mesh resolutions of the 3-D model. Determination of one and the same spring constant for a mass-spring model in this way leads to simple implementation of the mass-spring system. To validate proposed methodology, static deformations (e.g. compressions and indentations) simulated with mass-spring models and FEM reference models are compared.

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20

Mozafary, Vajiha, and Pedram Payvandy. "Study and comparison techniques in fabric simulation using mass spring model." International Journal of Clothing Science and Technology 28, no. 5 (September 5, 2016): 634–89. http://dx.doi.org/10.1108/ijcst-03-2015-0033.

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Purpose The purpose of this paper is to conduct a survey on research in fabric and cloth simulation using mass spring model. Also in this paper some of the common methods in process of fabric simulation in mass spring model are discussed and compared. Design/methodology/approach This paper reviews and compares presented mesh types in mass spring model, forces applied on model, super elastic effect and ways to settle the super elasticity problem, numerical integration methods for solving equations, collision detection and its response. Some of common methods in fabric simulation are compared to each other. And by using examples of fabric simulation, advantages and limitations of each technique are mentioned. Findings Mass spring method is a fast and flexible technique with high ability to simulate fabric behavior in real time with different environmental conditions. Mass spring model has more accuracy than geometrical models and also it is faster than other physical modeling. Originality/value In the edge of digital, fabric simulation technology has been considered into many fields. 3D fabric simulation is complex and its implementation requires knowledge in different fields such as textile engineering, computer engineering and mechanical engineering. Several methods have been presented for fabric simulation such as physical and geometrical models. Mass spring model, the typical physically based method, is one of the methods for fabric simulation which widely considered by researchers.

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21

Zhu, Xing Xing, and Si Hong Zhu. "A Theoretical Model for Calculating Vibration Characteristics of A Kind of Driver Seat with Air Spring and MR Damper." Applied Mechanics and Materials 141 (November 2011): 8–14. http://dx.doi.org/10.4028/www.scientific.net/amm.141.8.

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In order to further reduce the vibration transmitted from vehicle to driver, a new model of driver scissors linkage seat suspension was put forward, in which an air spring with auxiliary chamber and a MR damper are between the face and floor of the seat. The motion differential equation of this seat suspension system was established and the theoretical computing formulation of it’s equivalent vertical stiffness, equivalent damping coefficient, natural frequency and damping rate were deduced. Besides, taking HY-Z04 scissors linkage seat, SK37-6 air spring of ContiTech and RD-1005-3 MR damper of LORD as an example, the equivalent stiffness and damping coefficient in different conditions of the air spring pressure, the sprung mass, the orifice diameter and MR damping were computed and analyzed. The study results show that the air spring pressure, the sprung mass, the orifice diameter and MR damping all have obvious influence on the equivalent stiffness and damping coefficient, so the seat comfort can be improved by changing the air spring pressure, the orifice diameter and MR damping according to driver’s weight and road condition.

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22

GONG, Yong-Yi, and Xiao-Nan LUO. "Image Upsampling Based on Moving-Constrained Spring-Mass Model." Chinese Journal of Computers 34, no. 9 (October 15, 2011): 1621–28. http://dx.doi.org/10.3724/sp.j.1016.2011.01621.

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23

SeonMin Hwang, HanKyung Yun, and BokHee Song. "Fuzzy Inference of Textile Animation Using Mass-Spring Model." Journal of Communications and Information Sciences 3, no. 3 (July 31, 2013): 148–54. http://dx.doi.org/10.4156/jcis.vol3.issue3.18.

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24

GONG, Yong-Yi, Xiao-Nan LUO, Wei-Jia JIA, and Hou-Seng HUANG. "Medical Image Registration Based on Modified Spring-Mass Model." Chinese Journal of Computers 31, no. 7 (October 9, 2009): 1224–33. http://dx.doi.org/10.3724/sp.j.1016.2008.01224.

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25

Merker, Andreas, Dieter Kaiser, and Martin Hermann. "Numerical bifurcation analysis of the bipedal spring-mass model." Physica D: Nonlinear Phenomena 291 (January 2015): 21–30. http://dx.doi.org/10.1016/j.physd.2014.09.010.

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26

Xia, X., L. H. Man, and S. T. Wang. "Image Filtering Based on an Improved Spring-Mass Model." Journal of Algorithms & Computational Technology 5, no. 1 (March 2011): 1–13. http://dx.doi.org/10.1260/1748-3018.5.1.1.

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27

Kuroda, Junji, Julius Smith, Katarina Van Heusen, and Jack Perng. "A stiff mass‐spring‐chain model for piano strings." Journal of the Acoustical Society of America 128, no. 4 (October 2010): 2309. http://dx.doi.org/10.1121/1.3508123.

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28

Kiyono, Ken, and Nobuko Fuchikami. "Dripping Faucet Dynamics by an Improved Mass-Spring Model." Journal of the Physical Society of Japan 68, no. 10 (October 1999): 3259–70. http://dx.doi.org/10.1143/jpsj.68.3259.

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29

Shahabpoor, Erfan, Aleksandar Pavic, and Vitomir Racic. "Identification of mass–spring–damper model of walking humans." Structures 5 (February 2016): 233–46. http://dx.doi.org/10.1016/j.istruc.2015.12.001.

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30

Cui, Tong, Aiguo Song, and Juan Wu. "Simulation of a mass-spring model for global deformation." Frontiers of Electrical and Electronic Engineering in China 4, no. 1 (December 18, 2008): 78–82. http://dx.doi.org/10.1007/s11460-009-0001-6.

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31

Morin, J. B., T. Jeannin, B. Chevallier, and A. Belli. "Spring-Mass Model Characteristics During Sprint Running: Correlation with Performance and Fatigue-Induced Changes." International Journal of Sports Medicine 27, no. 2 (February 2006): 158–65. http://dx.doi.org/10.1055/s-2005-837569.

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32

Bertram, J. E., A. Ruina, C. E. Cannon, Y. H. Chang, and M. J. Coleman. "A point-mass model of gibbon locomotion." Journal of Experimental Biology 202, no. 19 (October 1, 1999): 2609–17. http://dx.doi.org/10.1242/jeb.202.19.2609.

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In brachiation, an animal uses alternating bimanual support to move beneath an overhead support. Past brachiation models have been based on the oscillations of a simple pendulum over half of a full cycle of oscillation. These models have been unsatisfying because the natural behavior of gibbons and siamangs appears to be far less restricted than so predicted. Cursorial mammals use an inverted pendulum-like energy exchange in walking, but switch to a spring-based energy exchange in running as velocity increases. Brachiating apes do not possess the anatomical springs characteristic of the limbs of terrestrial runners and do not appear to be using a spring-based gait. How do these animals move so easily within the branches of the forest canopy? Are there fundamental mechanical factors responsible for the transition from a continuous-contact gait where at least one hand is on a hand hold at a time, to a ricochetal gait where the animal vaults between hand holds? We present a simple model of ricochetal locomotion based on a combination of parabolic free flight and simple circular pendulum motion of a single point mass on a massless arm. In this simple brachiation model, energy losses due to inelastic collisions of the animal with the support are avoided, either because the collisions occur at zero velocity (continuous-contact brachiation) or by a smooth matching of the circular and parabolic trajectories at the point of contact (ricochetal brachiation). This model predicts that brachiation is possible over a large range of speeds, handhold spacings and gait frequencies with (theoretically) no mechanical energy cost. We then add the further assumption that a brachiator minimizes either its total energy or, equivalently, its peak arm tension, or a peak tension-related measure of muscle contraction metabolic cost. However, near the optimum the model is still rather unrestrictive. We present some comparisons with gibbon brachiation showing that the simple dynamic model presented has predictive value. However, natural gibbon motion is even smoother than the smoothest motions predicted by this primitive model.

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33

Kim, J. I., K. Eom, and S. Na. "Mechanical Mass-Spring Model for Understanding Globular Motion of Proteins." Journal of Mechanics 32, no. 2 (January 25, 2016): 123–29. http://dx.doi.org/10.1017/jmech.2015.109.

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AbstractThe conformational (structural) change of proteins plays an essential role in their functions. Experiments have been conducted to try to understand the conformational change of proteins, but they have not been successful in providing information on the atomic scale. Simulation methods have been developed to understand the conformational change at an atomic scale in detail. Coarse-grained methods have been developed to calculate protein dynamics with computational efficiency when compared with than all-atom models. A structure-based mass-spring model called the elastic network model (ENM) showed excellent performance in various protein studies. Coarse-grained ENM was modified in various ways to improve the computational efficiency, and consequently to reduce required computational cost for studying the large-scale protein structures. Our previous studies report a modified mass-spring model, which was developed based on condensation method applicable to ENM, and show that the model is able to accurately predict the fluctuation behavior of proteins. We applied this modified mass-spring model to analyze the conformational changes in proteins. We consider two model proteins as an example, where these two proteins exhibit different functions and molecular sizes. It is shown that the modified mass-spring model allows for accurately predicting the pathways of conformation changes for proteins. Our model provides structural insights into the conformation change of proteins related to the biological functions of large protein complexes.

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Shivakumar, K. N., W. Elber, and W. Illg. "Prediction of Impact Force and Duration Due to Low-Velocity Impact on Circular Composite Laminates." Journal of Applied Mechanics 52, no. 3 (September 1, 1985): 674–80. http://dx.doi.org/10.1115/1.3169120.

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Two simple and improved models — energy-balance and spring-mass — were developed to calculate impact force and duration during low-velocity impact of circular composite plates. Both models include the contact deformation of the plate and the impactor as well as bending, transverse shear, and membrane deformations of the plate. The plate was a transversely isotropic graphite/epoxy composite laminate and the impactor was a steel sphere. In the energy-balance model, a balance equation was derived by equating the kinetic energy of the impactor to the sum of the strain energies due to contact, bending, transverse shear, and membrane deformations at maximum deflection. The resulting equation was solved using the Newton-Raphson numerical technique. The energy-balance model yields only the maximum force; hence a less simple spring-mass model is presented to calculate the force history. In the spring-mass model, the impactor and the plate were represented by two rigid masses and their deformations were represented by springs. Springs define the elastic contact and plate deformation characteristics. Equations of equilibrium of the resulting two degree-of-freedom system, subjected to an initial velocity, were obtained from Newton’s second law of motion. The two coupled nonlinear differential equations were solved using Adam’s numerical integration technique. Calculated impact forces from the two analyses agreed with each other. The analyses were verified by comparing the results with reported test data.

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LITAK, GRZEGORZ, JESÚS M. SEOANE, SAMUEL ZAMBRANO, and MIGUEL A. F. SANJUÁN. "NONLINEAR RESPONSE OF THE MASS-SPRING MODEL WITH NONSMOOTH STIFFNESS." International Journal of Bifurcation and Chaos 22, no. 01 (January 2012): 1250006. http://dx.doi.org/10.1142/s021812741250006x.

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In this paper, we study the nonlinear response of the nonlinear mass-spring model with nonsmooth stiffness. For this purpose, we take as prototype model, a system that consists of the double-well smooth potential with an additional spring component acting on the system only for large enough displacement. We focus our study on the analysis of the homoclinic orbits for such nonlinear potential for which we observe the appearance of chaotic motion in the presence of damping effects and an external harmonic force, analyzing the crucial role of the linear spring in the dynamics of our system. The results are shown by using both the Melnikov analysis and numerical simulations. We expect our work to have implications on problems concerning the suspension of vehicles, among others.

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36

TAMADDONI, SEYED HOSSEIN, FARID JAFARI, ALI MEGHDARI, and SAEED SOHRABPOUR. "BIPED HOPPING CONTROL BAzSED ON SPRING LOADED INVERTED PENDULUM MODEL." International Journal of Humanoid Robotics 07, no. 02 (June 2010): 263–80. http://dx.doi.org/10.1142/s0219843610002106.

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Human running can be stabilized in a wide range of speeds by automatically adjusting muscular properties of leg and torso. It is known that fast locomotion dynamics can be approximated by a spring loaded inverted pendulum (SLIP) system, in which leg is replaced by a single spring connecting body mass to ground. Taking advantage of the inherent stability of SLIP model, a hybrid control strategy is developed that guarantees a stable biped locomotion in sagittal plane. In the presented approach, nonlinear control methods are applied to synchronize the biped dynamics and the spring-mass dynamics. As the biped center of mass follows the mass of the mass-spring model, the whole biped performs a stable locomotion corresponding to SLIP model. Simulations are done to obtain a repeatable hopping for a three-link underactuated biped model. Results show that periodic hopping gaits can be stabilized, and the presented control strategy provides feasible gait trajectories for stance and swing phases.

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37

Huang, Y., and C. S. G. Lee. "Generalization of Newton-Euler Formulation of Dynamic Equations to Nonrigid Manipulators." Journal of Dynamic Systems, Measurement, and Control 110, no. 3 (September 1, 1988): 308–15. http://dx.doi.org/10.1115/1.3152687.

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A recursive lumped mass/spring approximation model, based on the Newton-Euler formulation, is proposed to model the dynamics of manipulators with link flexibility. The model assumes that the displacement and rotation due to the link flexibility are measurable. For a small link deformation, a first-order lumped mass/spring approximation model is proposed, in which the parameters of each link are lumped to its joint and the link flexibility is modeled as a spring at each joint. For a larger deformation, the first-order lumped mass/spring approximation model is extended to model each nonrigid link by a series of small rigid segments connected by “pseudo-joints.” The link flexibility is modeled as a spring in each pseudo-joint. In both cases, the effects of torsion and extension are not included in the modeling. An anlaytical error analysis is performed to justify the approximation, and the mathematical relation between the maximum modeling error and the number of pseudo-joints in each link is derived. As the number of pseudo-joints approaches infinity, the joint torques computed by the extended lumped mass/spring approximation model approach the joint torques computed by other models obtained from the Lagrange’s equation.

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38

Yuan, Zhi Yong, Yi Hua Ding, Yuan Yuan Zhang, and Jian Hui Zhao. "Real-Time Simulation of Tissue Cutting with CUDA Based on GPGPU." Advanced Materials Research 121-122 (June 2010): 154–61. http://dx.doi.org/10.4028/www.scientific.net/amr.121-122.154.

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A novel approach to simulate soft tissue cutting in a virtual reality endoscopic simulator for surgical training is proposed in this paper. This approach is based on both the improved mass-spring model and the use of computational geometry. A virtual spring is introduced and harnessed to help compensate the shortcoming of the conventional mass-spring model, and a detection algorithm utilizing decomposition of affine coordinates is adopted for the purpose of determining the springs that intersect with the cutting plane. To speed up the simulation performance, algorithms and data structures for the cutting model are designed and implemented based on GPGPU (General-purpose computing on graphics processing units). The performance comparison on the GPU and CPU demonstrates that the proposed method is efficacious and practical.

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39

Pellicer, Marta. "Large time dynamics of a nonlinear spring–mass–damper model." Nonlinear Analysis: Theory, Methods & Applications 69, no. 9 (November 2008): 3110–27. http://dx.doi.org/10.1016/j.na.2007.09.005.

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40

Wang, Yu, Shuxiang Guo, and Baofeng Gao. "Vascular elasticity determined mass-spring model for virtual reality simulators." International Journal of Mechatronics and Automation 5, no. 1 (2015): 1. http://dx.doi.org/10.1504/ijma.2015.068446.

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41

Lovesey, S. W. "Exact properties of the mixed mass modulated spring constant model." Journal of Physics: Condensed Matter 1, no. 16 (April 24, 1989): 2731–36. http://dx.doi.org/10.1088/0953-8984/1/16/011.

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42

Dutto, D. J., and G. A. Smith. "SPRING-MASS MODEL CHARACTERISTICS AS A FUNCTION OF RUNNING SPEED." Medicine & Science in Sports & Exercise 30, Supplement (May 1998): 294. http://dx.doi.org/10.1097/00005768-199805001-01677.

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43

Wang, Haoqi, Jun Chen, and Tomonori Nagayama. "Parameter identification of spring-mass-damper model for bouncing people." Journal of Sound and Vibration 456 (September 2019): 13–29. http://dx.doi.org/10.1016/j.jsv.2019.05.034.

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Fragoso, Lygia Bueno, Max de Castro Magalhães, Estevam Barbosa de Las Casas, Juliana Nunes Santos, Alessandra Terra Vasconcelos Rabelo, and Rafaella Cristina Oliveira. "A mass-spring model of the auditory system in otosclerosis." Revista Brasileira de Engenharia Biomédica 30, no. 3 (September 2014): 281–88. http://dx.doi.org/10.1590/1517-3151.0252.

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Cho, Beom-Joon. "Mass-Spring-Damper Model for Offline Handwritten Character Distortion Analysis." Journal of Korea Multimedia Society 14, no. 5 (May 31, 2011): 642–49. http://dx.doi.org/10.9717/kmms.2011.14.5.642.

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Yuan, Bin, Hongwang Du, Haitao Wang, and Wei Xiong. "The simulation of cable harness based on mass-spring model." MATEC Web of Conferences 31 (2015): 10002. http://dx.doi.org/10.1051/matecconf/20153110002.

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Girard, Olivier, Jean-Paul Micallef, and Grégoire P. Millet. "Changes In Spring-mass Model Characteristics During Repeated Running Sprints." Medicine & Science in Sports & Exercise 42 (May 2010): 34–35. http://dx.doi.org/10.1249/01.mss.0000384848.99819.b1.

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YOSHIDA, Kazushi. "Dynamic Analysis of Sheet Deformation Using Spring-Mass-Beam Model." Transactions of the Japan Society of Mechanical Engineers Series C 63, no. 615 (1997): 3926–32. http://dx.doi.org/10.1299/kikaic.63.3926.

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Wang, Xiuzhong, and Venkat Devarajan. "Improved 2D mass-spring-damper model with unstructured triangular meshes." Visual Computer 24, no. 1 (September 22, 2007): 57–75. http://dx.doi.org/10.1007/s00371-007-0179-7.

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Cai, Yiqing, Lihua Chen, Winnie Yu, Jie Zhou, Frances Wan, Minyoung Suh, and Daniel Hung-kay Chow. "A piecewise mass-spring-damper model of the human breast." Journal of Biomechanics 67 (January 2018): 137–43. http://dx.doi.org/10.1016/j.jbiomech.2017.11.027.

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