Growth of Primitive Elements in Free Groups [PDF]
Journal of the London Mathematical Society, 2014 In the free group $F_k$, an element is said to be primitive if it belongs to a free generating set. In this paper, we describe what a generic primitive element looks like.
Puder, Doron, Wu, Conan
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Counting Primitive Elements in Free Groups [PDF]
Geometriae Dedicata, 2001 Primitive elements in free groups are those elements that can be part of a free basis of the group. The purpose of this paper is to study the distribution of the primitive elements inside of a free group. The way for doing this is to relate them to the concentric balls of elements.
José Burillo, Enric Ventura
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Dynamic Characteristics of Joined Steel and Carbon Fiber-Reinforced Plastic Tubes: Experimental and Numerical Investigation [PDF]
Mechanics of Advanced Composite Structures, 2017 The fundamental frequencies and mode shapes of steel and carbon fiber–reinforced plastic (CFRP) cylindrical shells with steel inserts were investigated using finite element analysis and modal testing.
M. Shakouri +3 more
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Finite Element Formulation for Free Vibration and Stability of Timoshenko beam [PDF]
مجله مدل سازی در مهندسی, 2014 In this paper, a two-node element has been suggested for analyzing stability and free vibration of Timoshenko beam. A cubic displacement polynomial and a quadratic rotational field are selected for this element.
Abbas Moallemi-Oreh, محمد کارکن
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Temperature-dependent 2-dimensional porous FG plates free vibration analysis using finite element approach [PDF]
INCAS Bulletin, 2022 This work aims to address the free vibration analysis of two-dimensional porous 2-D FG plates with temperature-dependent properties that are subjected to thermomechanical loading.
Inala RAMU
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Stress finite element models for determining the frequencies of free oscillations [PDF]
Инженерно-строительный журнал, 2016 Development of calculation methods, allowing determining the lower limits frequencies of free oscillations is actual. Such methods, in combination with the decisions by the method of finite element in displacements, will let to assess the accuracy of the
Yu.Ya. Tyukalov
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The Unipotency of the Free Group with Linear Representation of Dimension 11
Journal of Harbin University of Science and Technology, 2022 For the unipotent problem of binary-generated free groups, the new trace equations are obtained by intensive study of combinatorial properties of the primitive element of the binary-generated free groups.
YANG Xin-song, XIA Xiao-dan
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Stress concentration analysis of plate with circular hole : elasticity theory and finite element comparison [PDF]
, 2014 Stress concentration factor for a plate with circular free stress hole subjected to a uniform far field tension in single was investigated in this study.
Masrol, S.R., Siswanto, W.A.
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Primitive elements in free groups [PDF]
Proceedings of the American Mathematical Society, 1989 Let F n {F_n} denote the free group of rank n n generated by x 1 , x 2 , … , x n ...
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Finite Element Analysis of Sheet Metal U-Bending Using Free Form Surface [PDF]
Engineering and Technology Journal, 2012 This paper deals with the optimization of tools geometry in sheet metal forming U-bending in order to reduce the equivalent strain, equivalent stress, and thickness change after forming.
Shakir Madhloom Gatea +1 more
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