In this chapter we discuss a Cosserat-type theory of rods. Cosserat-type rod theories are based on the consideration of a rod base curve as a deformable directed curve, that is a curve with attached deformable or non-deformable (rigid) vectors (directors), or based on the derivation of ...
【摘要】To dynamically model slender structures conveniently by Cosserat rod theory, the dynamic equations for pre-stressed curved Cosserat rods are established within the framework of this rod theory by defining variables to describe their initial configurations, their pre-stresses and their initial defo...
To dynamically model slender structures conveniently by Cosserat rod theory, the dynamic equations for pre-stressed curved Cosserat rods are established within the framework of this rod theory by defining variables to describe their initial configurations, their pre-stresses and their initial deformations,...
We derive continuous energies for a dynamically deforming rod based on the Cosserat theory of elastic rods. We then discretize the rod and compute energies per element by employing finite element methods. Thus, the global dynamic behavior is independent of the discretization. The dynamic evolution ...
(1)In chapter,theprogresses basictoolsfor the and treatmentsaresummarized.Some analytic numerical analyzing introduced. oftherodare geometricproperties rod.For modelis to theCosseratmodelofanelastic analyze (2)Adynamicalgiven modelis therodof material,the structureofthe super.elastic super—multi-...
We derive continuous energies for a dynamically deforming rod based on the Cosserat theory of elastic rods. We then discretize the rod and compute energies... J Spillmann,M Teschner - Eurographics Association 被引量: 232发表: 2007年 Numerical solution procedures for nonlinear elastic rods using the...
The complexity of borehole shapes and of the drill-string dynamics can be handled by a rod theory such as the Cosserat rod approach. The Cosserat theory for rods analyses the dynamics of a deformable directed curve, that is, with a set of three vectors (directors) attached to it. The 1...
Based on the Cosserat theory,the nonlinear models of a rod in 3-dimensional space was described. 利用Cosserat理论建立了细长杆的三维非线性动力学模型。 更多例句>> 6) Cosserat continua Cosserat连续介质 1. Classical yield criterions cannot be applied directly to Cosserat continua since the strain ...
Variational Principle for a Special Cosserat Rod 细长杆的Cosserat动力学模型和变分原理 6. Stochastic medium model belongs to in-continuous medium theory. 随机介质理论属于非连续介质理论范畴。 7. Review and Query on the Theories of Occidental Regional Development Difference 西方区域发展差异理论评介与...
5)Cosserat medium theoryCosserat介质理论 6)cosserat modelCosserat模型 1.The geometry of deformation of the rod section is discussed and differences between the Kirchhoff model and the Cosserat model are analyzed based on the definitions of strain vector at the center and curvature-twisting vector of...