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View Code? Open in Web Editor NEW2nd Order Time Derivatives of Equations of Motion in Closed Form
2nd Order Time Derivatives of Equations of Motion in Closed Form
I feel very very sorry to contact with you about one hard issue I encountered by this way. I have read the paper " On the closed form computation of the dynamic matrices and their differentiations" . I almost spent my entire holiday to implement these algorithm equations eq1 ~ eq32, I almost get all passed except eq24b.
my python code results showed that $$ \dot C \neq \frac{\partial C} {\partial q} \dot q + \frac{\partial C}{\partial\dot q} \ddot q$$ but when I set velcotity of all joints zeros , $ \dot C = \frac{\partial C} {\partial q} \dot q + \frac{\partial C}{\partial\dot q} \ddot q$
therefore I think only eq24b i.e.
I have checked the following equations from python result all correct, I think all equations eq1 ~ eq32 computed correctly except eq24b
$ \dot G = \frac{\partial G} {\partial q} \dot q $
$ \dot J = \frac{\partial J} {\partial q} \dot q $
$ \ddot J = \frac{\partial J} {\partial q} \ddot q + \frac{\partial \dot J} {\partial q} \dot q$
$ \dot M = C + C^T$
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