Relevant bibliographies by topics / Cosserat rod-theory

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  1. Journal articles
  2. Dissertations / Theses
  3. Book chapters
  4. Conference papers

Academic literature on the topic 'Cosserat rod-theory'

Author: Grafiati
Published: 3 June 2025
Last updated: 31 July 2025

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Journal articles on the topic "Cosserat rod-theory"

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Zhang, Hou Bin, Mao Sheng Jiang, and Ying Wu. "A Cosserat Rod Model of Multi-Symplectic Structure and its Numerical Treatment." Advanced Materials Research 712-715 (June 2013): 1395–400. http://dx.doi.org/10.4028/www.scientific.net/amr.712-715.1395.

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In this paper, a Hamiltonian formulation of the Cosserat rod model is proposed. The model, based on the Cossert rod theory incorporates shear, elongation, flexure and twist deformation, is of multi-symplectic structure. A multi-symplectic algorithm is employed to discretize the equation and a numerical example is giving.
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Beliaev, Mikhail, Vladimir Lalin, and Vladimir Kuroedov. "Geometrically Nonlinear Rods Theory - Comparison of the Results Obtained by Cosserat-Timoshenko and Kirchhoff's Rod Theories." Applied Mechanics and Materials 725-726 (January 2015): 629–35. http://dx.doi.org/10.4028/www.scientific.net/amm.725-726.629.

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Up to the present solutions for geometrically nonlinear rods were obtained only by the Kirchhoff’s theory. This theory disregards flexibility of the rod on tension and shear. For rods in modern software suites the Cosserat-Timoshenko rod theory is generally used. As opposed to Kirchhoff’s theory it takes into account tensile and shear stiffness. This paper presents solutions obtained by Cosserat-Timoshenko rod theory. These results can be used as benchmark problem for verification of software suites.
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Rubin, M. B. "Free Vibration of a Rectangular Parallelepiped Using the Theory of a Cosserat Point." Journal of Applied Mechanics 53, no. 1 (1986): 45–50. http://dx.doi.org/10.1115/1.3171736.

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Free vibration of a rectangular parallelepiped composed of a homogeneous linear elastic isotropic material is studied. The parallelepiped is modeled as an isotropic Cosserat point and simple formulas are developed to predict the lowest frequencies of vibration. Within the context of the theory, extensional and shear vibrations are uncoupled. The lowest extensional frequency predicted by the Cosserat theory is compared with available exact solutions and with predictions of thin rod theory. Finally, by introducing a simple modification of the director inertia coefficient it is shown that the Cos
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Rubin, M. B. "Equivalence of a Constrained Cosserat Theory and Antman’s Special Cosserat Theory of a Rod." Journal of Elasticity 140, no. 1 (2020): 39–47. http://dx.doi.org/10.1007/s10659-019-09761-9.

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Wang, Honghong, Jingli Du, and Yi Mao. "Cosserat Rod-Based Tendon Friction Modeling, Simulation, and Experiments for Tendon-Driven Continuum Robots." Micromachines 16, no. 3 (2025): 346. https://doi.org/10.3390/mi16030346.

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Traditional tendon-driven continuum robot (TDCR) models based on Cosserat rod theory often assume that tendon tension is a continuous wrench along the backbone. However, this assumption overlooks critical factors, including the discrete arrangement of disks, the segmented configuration of tensioned tendons, and the friction between tendons and guide holes. Additionally, tendon forces are not continuous but discrete, concentrated wrenches, with the frictional force magnitude and direction varying based on the TDCR’s bending configuration. We propose a TDCR modeling method that integrates Cosser
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Rubin, M. B. "Numerical Solution Procedures for Nonlinear Elastic Curved Rods Using the Theory of a Cosserat Point." Mathematics and Mechanics of Solids 10, no. 1 (2005): 89–126. http://dx.doi.org/10.1177/1081286504033005.

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The numerical solution of problems of curved rods can be formulated using rod elements developed within the context of the theory of a Cosserat point. Although the general theory is valid for curved rods, the constitutive coefficients have been determined by comparison with exact linear solutions only for straight beams. The objective of this paper is to explore the accuracy of the predictions of the Cosserat theory for curved rods by comparison with exact solutions. Specifically, these problems include: linearized axisymmetric deformation of a circular ring loaded with internal and external p
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Alqumsan, Ahmad Abu, Suiyang Khoo, and Michael Norton. "Robust control of continuum robots using Cosserat rod theory." Mechanism and Machine Theory 131 (January 2019): 48–61. http://dx.doi.org/10.1016/j.mechmachtheory.2018.09.011.

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Bhashi, Bhashi, S. Sreejath, and S. P. Singh. "Experimentation Evaluation of Dynamics of Steel Wire Rope." Key Engineering Materials 996 (December 6, 2024): 133–42. https://doi.org/10.4028/p-wtr6ta.

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Wire ropes represent a distinct category of ropes synthesized through the intertwining or braiding of individual steel wires. This unique construction confers notable attributes such as strength, flexibility, and durability to the resultant rope. The pervasive wire ropes across diverse industries underscores their capacity to adeptly manage substantial loads and endure adverse environmental conditions finding its application in mechanical, civil, mining, and marine engineering. This paper presents usage of image processing method to detect the deflection of a steel wire rope. The system compri
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Smriti, Ajeet Kumar, Alexander Großmann, and Paul Steinmann. "A thermoelastoplastic theory for special Cosserat rods." Mathematics and Mechanics of Solids 24, no. 3 (2018): 686–700. http://dx.doi.org/10.1177/1081286517754132.

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A general framework is presented to model coupled thermoelastoplastic deformations in the theory of special Cosserat rods. The use of the one-dimensional form of the energy balance in conjunction with the one-dimensional entropy balance allows us to obtain an additional equation for the evolution of a temperature-like one-dimensional field variable, together with constitutive relations for this theory. Reduction to the case of thermoelasticity leads us to the well-known nonlinear theory of thermoelasticity for special Cosserat rods. Later on, additive decomposition is used to separate the ther
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Linn, J., H. Lang, and A. Tuganov. "Geometrically exact Cosserat rods with Kelvin–Voigt type viscous damping." Mechanical Sciences 4, no. 1 (2013): 79–96. http://dx.doi.org/10.5194/ms-4-79-2013.

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Abstract. We present the derivation of a simple viscous damping model of Kelvin–Voigt type for geometrically exact Cosserat rods from three-dimensional continuum theory. Assuming moderate curvature of the rod in its reference configuration, strains remaining small in its deformed configurations, strain rates that vary slowly compared to internal relaxation processes, and a homogeneous and isotropic material, we obtain explicit formulas for the damping parameters of the model in terms of the well known stiffness parameters of the rod and the retardation time constants defined as the ratios of b
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Dissertations / Theses on the topic "Cosserat rod-theory"

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Silveira, Marcos. "A comprehensive model of drill-string dynamics using Cosserat rod theory." Thesis, University of Aberdeen, 2011. http://digitool.abdn.ac.uk:80/webclient/DeliveryManager?pid=185869.

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The drill-strings used in drilling operate under extreme condi-tions, therefore, an accurate understanding of their dynamics is necessary and has attracted much interest. Although a bottom hole assembly (BHA) is to a great ex- tent responsible for the dynamics of the system, the in uence of the drill-pipes has been increasingly neglected by current models. Their dynamics and geometrical behaviour should be better analysed for a deeper understanding of underlying phe- nomena. For example, under stick-slip oscillations, the torque on the drill-string may cause torsional buckling of the drill-pip
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Rajathachal, Karthik M. "Application Of Polynomial Reproducing Schemes To Nonlinear Mechanics." Thesis, 2009. https://etd.iisc.ac.in/handle/2005/1093.

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The application of polynomial reproducing methods has been explored in the context of linear and non linear problems. Of specific interest is the application of a recently developed reproducing scheme, referred to as the error reproducing kernel method (ERKM), which uses non-uniform rational B-splines (NURBS) to construct the basis functions, an aspect that potentially helps bring in locall support, convex approximation and variation diminishing properties in the functional approximation. Polynomial reproducing methods have been applied to solve problems coming under the class of a simplified
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Rajathachal, Karthik M. "Application Of Polynomial Reproducing Schemes To Nonlinear Mechanics." Thesis, 2009. http://hdl.handle.net/2005/1093.

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The application of polynomial reproducing methods has been explored in the context of linear and non linear problems. Of specific interest is the application of a recently developed reproducing scheme, referred to as the error reproducing kernel method (ERKM), which uses non-uniform rational B-splines (NURBS) to construct the basis functions, an aspect that potentially helps bring in locall support, convex approximation and variation diminishing properties in the functional approximation. Polynomial reproducing methods have been applied to solve problems coming under the class of a simplified
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Book chapters on the topic "Cosserat rod-theory"

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Bhattu, Arati Ajay, and Salil Kulkarni. "Dynamics of Tendon Actuated Continuum Robots by Cosserat Rod Theory." In ROMANSY 23 - Robot Design, Dynamics and Control. Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-58380-4_50.

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Rodrigues, Vinayvivian, Bingbin Yu, Christoph Stoeffler, and Shivesh Kumar. "Kinetostatic Analysis for 6RUS Parallel Continuum Robot Using Cosserat Rod Theory." In Advances in Robot Kinematics 2024. Springer Nature Switzerland, 2024. http://dx.doi.org/10.1007/978-3-031-64057-5_49.

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Punak Sukitti and Kurenov Sergei. "Simplified Cosserat Rod for Interactive Suture Modeling." In Studies in Health Technology and Informatics. IOS Press, 2011. https://doi.org/10.3233/978-1-60750-706-2-466.

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This paper presents a real-time simulation of a virtual surgical suture, which is a physically-based model adapted from the Cosserat theory of elastic rods. The focus is on achieving a physically plausible simulation of the suture that can be simulated in real time. With simulation parameters adjustment, the virtual surgical suture can be accustomed to exhibit bending and twisting similar to a real suture. It is simple to implement and easy to extend for collision detections and interactions with other virtual objects. Its simulation is similar to a simulation of a composition of two mass-spri
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Conference papers on the topic "Cosserat rod-theory"

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Bensch, Martin, Tim-David Job, Tim-Lukas Habich, Thomas Seel, and Moritz Schappler. "Physics-Informed Neural Networks for Continuum Robots: Towards Fast Approximation of Static Cosserat Rod Theory." In 2024 IEEE International Conference on Robotics and Automation (ICRA). IEEE, 2024. http://dx.doi.org/10.1109/icra57147.2024.10610742.

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Luo, Albert C. J. "On an Approximate Theory for Nonlinear Dynamics of Rods." In ASME 2009 International Mechanical Engineering Congress and Exposition. ASMEDC, 2009. http://dx.doi.org/10.1115/imece2009-11467.

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In this paper, a nonlinear theory for a straight rod is presented in the Cartesian coordinate frame. The traditional treatises of nonlinear rods were based on the Cosserat’s theory (e.g., E. and F. Cosserat, 1896) or the Kirchhoff assumptions (e.g., Kirchhoff, 1859; Love, 1944). This paper extends the ideas of Galerkin (1915), and the nonlinear theory of rods is developed from the general theory of the 3-dimennsional deformable-body.
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Ma, Ceyi, Yinghong Wen, Dan Zhang, Jianjun Xiao, and Wangqun Sheng. "Crosstalk Prediction of Cables Based on Cosserat Elastic Rod Theory." In 2019 28th Wireless and Optical Communications Conference (WOCC). IEEE, 2019. http://dx.doi.org/10.1109/wocc.2019.8770610.

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Ryu, Hwan-Taek, Long Kang, and Byung-Ju Yi. "Application of Cosserat Rod Theory to Configuration Estimation of Coionoscope." In 2018 15th International Conference on Ubiquitous Robots (UR). IEEE, 2018. http://dx.doi.org/10.1109/urai.2018.8441805.

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Alamo, Fredy Coral, and Hans Ingo Weber. "Dynamics of Beams Using a Geometrically Exact Elastic Rod Approach." In ASME 8th Biennial Conference on Engineering Systems Design and Analysis. ASMEDC, 2006. http://dx.doi.org/10.1115/esda2006-95158.

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The dynamics of a long slender beam, intrinsically straight, is addressed systematically for 3-D problems using the Cosserat rod theory. The model developed allows for bending, extension/compression and torsion, thus enabling the study of the dynamics of various types of elastic deformations. In this work a linear constitutive relation is used, also, the Bernoulli hypothesis is considered and the shear deformations are neglected. The fundamental problem when using any finite element (FE) formulation is the choice of the displacement functions. When using Cosserat rod theory this problem is han
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Xu, Lisong, Chenhai Long, Guoliang Ma, and Jian Guo. "Control-Oriented Modeling of Multi-Segment Continuum Robot Based on Cosserat Rod Theory." In ICCIR 2022: 2022 2nd International Conference on Control and Intelligent Robot. ACM, 2022. http://dx.doi.org/10.1145/3548608.3559174.

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Grube, M., and R. Seifried. "Simulation of soft robots with nonlinear material behavior using the cosserat rod theory." In 8th European Congress on Computational Methods in Applied Sciences and Engineering. CIMNE, 2022. http://dx.doi.org/10.23967/eccomas.2022.252.

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Saberi, Alireza, Hamed Ghafarirad, Afshin Taghvaeipour, and Sadegh Pourghasemi Hanza. "Coupled Transverse-Longitudinal Deformation Analysis of Soft Bending Actuators Using Cosserat Rod Theory." In 2023 11th RSI International Conference on Robotics and Mechatronics (ICRoM). IEEE, 2023. http://dx.doi.org/10.1109/icrom60803.2023.10412542.

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O’Reilly, Oliver M., and Major Jeffrey S. Turcotte. "On the Free Vibrations of a Whirling Rod." In ASME 1997 Design Engineering Technical Conferences. American Society of Mechanical Engineers, 1997. http://dx.doi.org/10.1115/detc97/vib-4072.

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Abstract In this work, the problem of a whirling rod is examined. The governing equations for the steady motion of the rod and small amplitude vibrations superposed on the steady motion are formulated and discussed. This formulation uses the theory of a directed or Cosserat rod which was developed by A. E. Green, P. M. Naghdi and several of their co-workers. The present work also involves extensions to recent work by O’Reilly on properly invariant approximate theories.
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Wang, Xiaocheng, Changliang Wang, Xueqian Wang, Deshan Meng, Bin Liang, and Hejie Xu. "Dynamics Modeling and Verification of Parallel Extensible Soft Robot Based on Cosserat Rod Theory." In 2022 IEEE 18th International Conference on Automation Science and Engineering (CASE). IEEE, 2022. http://dx.doi.org/10.1109/case49997.2022.9926558.

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