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- W2247496377 abstract "The Euler-Bernoulli equation should be expanded from several aspects. By supplementing Euler-Bernoulli equations with the expressions that come out directly from the motion dynamics of elastic bodies, they become more complex. This yields the difference in their structure for each mode. Mathematical model of the actuators should be expanded according to the requirements of the motion complexity of elastic robotic systems, also. Particular integral of Daniel Bernoulli should be supplemented with the stationary character of elastic deformation of any point of the considered mode, caused by the present forces. The relationship between the Euler-Bernoulli equation and equation of equilibrium at any point of elastic line are explained. The solution of equilibrium equation at any point of elastic line (also at the point of elastic line tip), is described by three equations for position definition and by three equations for orientation definition of the considered point in the space of Cartesian coordinates. Simulation results are shown for a selected robotic example involving the simultaneous presence of elasticity of the gear and of the link (two modes), as well as the environment force dynamics." @default.
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- W2247496377 date "2010-01-01" @default.
- W2247496377 modified "2023-09-26" @default.
- W2247496377 title "New aspects on formulating the Euler-Bernoulli equation" @default.
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