Results 51 to 60 of about 175 (152)

Roullete curves, coin paradox and Aristotle’s wheel paradox [PDF]

Revista Brasileira de Ensino de Física
This work discusses the concept of roulette, the generated curves that occur when one curve rolls without slipping along another, tracing the path of a fixed point.
Osvaldo L. Santos-Pereira
doaj   +1 more source

An unexpected appearance of Steiner's hypocycloid

aequationes mathematicae, 1986
Sind in der reellen affinen Ebene zwei Parabeln \(p_ 1,p_ 2\) mit parallelen Achsen (der Richtung \(r\)) gegeben derart, daß \(p_ 1\) die Seiten eines gegebenen Dreiecks \(D\) berührt und \(p_ 2\) durch die Seitenmitten von \(D\) geht, so berühren \(p_ 1,p_ 2\) einander nach de Cicco (1939) in einem Punkt \(B=B(r)\); dieser durchläuft nach Coxeter ...
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The Zeros of Faber Polynomials for an m-Cusped Hypocycloid

Journal of Approximation Theory, 1994
The location, density and asymptotic behavior of the zeros of Faber polynomials \(F_ n\) associated with the closed region bounded by the \(m\)-cusped hypocycloid with equation \(z= \exp (i\theta)+ 1/(m-1)\exp (- (m-1) i\theta)\) are determined. The main result says that for each \(n\geq 1\) all zeros of \(F_ n\) are located on the set \(S_ m= \{x ...
He, Matthew, Saff, E. B.
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Three Special Forms of Epicycloid Profiles of Cam Rotors and Their Performance Analysis

Jixie chuandong, 2022
Focusing on optimal profile construction of epicycloid cam rotors for pump, using the bisymmetric method and taking the rolling radius ratio as the structural variables, an equation of inner conjugate curve corresponding to epicycloid is derived; and ...
Chen Qinghong, Li Yulong, Zhang Pingshan
doaj  

MODELING AND SIMULATION OF CYCLOID CURVES WITH APPLICATION IN ROBOTICS [PDF]

Fiabilitate şi Durabilitate, 2010
Mechanical power transmission by reducing the rotating speed under a constant transmission ratio represents the function of a large group of products known as speed reducers. Cycloid gearing roller (invented by L.
Lucia PASCALE, Paul Ciprian PATIC, Luminiţa DUŢĂ, Adrian RUNCEANU   +3 more
doaj  

Geometric inequalities characterizing hypocycloids

Proceedings of the Japan Academy, Series A, Mathematical Sciences
Abstract In spite of the geometric and analytic importance of hypocycloids, there are little systematic studies of geometric inequalities characterizing hypocycloids. Recently, Kwong--Lee obtained a countable family of geometric inequalities for convex curves by virtue of higher order Wirtinger-type inequalities.
Atsufumi Honda, Rina Tajima
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A Novel Variable Stiffness Mechanism Capable of an Infinite Stiffness Range and Unlimited Decoupled Output Motion

Actuators, 2014
In this paper, a novel variable stiffness mechanism is presented, which is capable of achieving an output stiffness with infinite range and an unlimited output motion, i.e., the mechanism output is completely decoupled from the rotor motion, in the zero ...
Stefan Groothuis, Raffaella Carloni, Stefano Stramigioli   +2 more
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A formalism for modelling traction forces and cell shape evolution during cell migration in various biomedical processes. [PDF]

Biomech Model Mechanobiol, 2021
Peng Q, Vermolen FJ, Weihs D.
europepmc   +1 more source

Improvement of the Nonparallel Helical Gear Drive Performance Using the Modified Asymmetric Teeth with Tip Relief

Journal of Engineering
Overheating is a common issue in a nonparallel helical gearing system. The reason is the high friction, sliding velocity, and tangential force that occurs between meshed gear teeth.
Mohammed Abdulaal Kadhim, Mohammad Qasim Abdulah   +1 more
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The Analysis of the Gear Profile of A Rolling-Friction Cycloid Speed Reducer

Jixie chuandong, 1995
The rolling-friction cycloid speed reducer has two kinds of tooth profiles─a hypocycloid and an epicycloid. Although their characteristics are diffenent, they both have same overcutting problem.
Lin Jing, et al.
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