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Whole analogy between Daniel Bernoulli solution and direct kinematics solution
Author(s) -
Mirjana Filipović,
Ana Djuric
Publication year - 2010
Publication title -
theoretical and applied mechanics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.279
H-Index - 6
eISSN - 2406-0925
pISSN - 1450-5584
DOI - 10.2298/tam1001049f
Subject(s) - kinematics , bernoulli's principle , analogy , mechanism (biology) , classical mechanics , elasticity (physics) , euler's formula , mathematics , dynamics (music) , actuator , computer science , mathematical analysis , physics , artificial intelligence , linguistics , philosophy , quantum mechanics , acoustics , thermodynamics
In this paper, the relationship between the original Euler-Bernoulli's rod equation and contemporary knowledge is established. The solution which Daniel Bernoulli defined for the simplest conditions is essentially the solution of 'direct kinematics'. For this reason, special attention is devoted to dynamics and kinematics of elastic mechanisms configuration. The Euler-Bernoulli equation and its solution (used in literature for a long time) should be expanded according to the requirements of the mechanisms motion complexity. The elastic deformation is a dynamic value that depends on the total mechanism movements dynamics. Mathematical model of the actuators comprises also elasticity forces

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