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I study numerical algebraic geometry, which concerns the development of numerical algorithms to solve systems of polynomial equations. While these techniques are relevant to many disciplines, my motivation has been rooted their application to robots and mechanisms. More recently, I have been concentrating on questions concerning battery systems for electric and hybrid vehicles, especially battery state estimation.
The area of kinematics of robots and mechanisms is primarily concerned with collections of rigid bodies with geometric constraints between them. Examples of such constraints are rotational hinges, prismatic (linearly sliding) joints, and spherical (ball-and-socket) joints. Mathematical models based on ideal joints and rigid bodies closely approximate the motion of many practical devices, ranging from steering and suspension systems on vehicles to multi-limbed robots.
The area of kinematics of robots and mechanisms is primarily concerned with collections of rigid bodies with geometric constraints between them. Examples of such constraints are rotational hinges, prismatic (linearly sliding) joints, and spherical (ball-and-socket) joints. Mathematical models based on ideal joints and rigid bodies closely approximate the motion of many practical devices, ranging from steering and suspension systems on vehicles to multi-limbed robots.
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JOURNAL OF MATHEMATICS AND THE ARTSno. 1-2 (2023): 22-49
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semanticscholar(2022)
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