An algebraic study of linkages with helical joints
نویسندگان
چکیده
Methods from algebra and algebraic geometry have been used in various ways to study linkages in kinematics. These methods have failed so far for the study of linkages with helical joints (joints with screw motion), because of the presence of some non-algebraic relations. In this article, we explore a delicate reduction of some analytic equations in kinematics to algebraic questions via a theorem of Ax. As an application, we give a classification of mobile closed 5linkages with revolute, prismatic, and helical joints.
منابع مشابه
Type Synthesis of Three-Degree-of-Freedom Spherical Parallel Manipulators
A spherical parallel manipulator (also called an orientational parallel manipulator or rotational parallel manipulator) refers to a threedegree-of-freedom (3-DoF) parallel manipulator in which the moving platform undergoes a 3-DoF spherical motion or rotates about a fixed point. In this paper, we propose a new method for the type synthesis of non-overconstrained (isostatic) spherical parallel m...
متن کاملDeveloping Earthquake Resiliency Scenarios based on Rural-Urban Linkages (Case Study: Shemiranat, Damavand and Firouzkoh)
Linkages in geographical spaces representing a region is not just a functional system which has been formed by various settlements. It rather takes its power from social, economic and physical networks and their interactions which means it is controlled by aforementioned networks. Therefore, there are always rural area and urban area with some relations or linkages. In this regard, relation mos...
متن کاملPrediction of Body Center of Mass Acceleration From Trunk and Lower Limb Joints Accelerations During Quiet Standing
Purpose: Predicting body Center of Mass (COM) acceleration is carried out with more accuracy based on the acceleration of three joints of lower limb compared to only accounting joints of hip and ankle. Given that trunk movement during quite standing is noticeable, calculating trunk acceleration in model might increase prediction accuracy of COM acceleration. Moreover, in previous research studi...
متن کاملA numerical investigation of heat transfer and pressure drop in a novel cylindrical heat sink with helical minichannels
This study numerically investigated heat transfer and fluid flow characteristics in a novel cylindrical heat sink with helical minichannels for the laminar flow of fluid with temperature-dependent properties. A finite volume method was employed to obtain the solution of governing equations. The effects of helical angle, channel aspect ratio, and Reynolds number, which were regarded as main para...
متن کاملThe role of financial investment in rural development, with an emphasis on tourism and second homes: County BuinZahra
Urban-rural linkages play a prominent role with regard to rural development. It is being argued that city considers as an engine of rural development thus urban-rural linkages and their nature and intensity demand thorough and comprehensive investigation. Provision of monetary and financial transaction the flow of capital including governmental construction budgets’, commodity transfers and ind...
متن کامل