Euler-Bernoulli equation forever but now in a new form

Nowadays, taking into consideration significantly improved knowledge in the robotics (classical mechanics); the Euler-Bernoulli equation can not be used anymore in its original form, as a purpose of synthesis and analysis of elastic robotic systems. Therefore, with respect to Euler and Bernoulli, it is necessary to further improve the equation. It is the only way for not losing information of complexity of movement dynamics of every mode within a segment (and broader within the total robotic configuration). Thus, it very important to connect the original Euler-Bernoulli equation and modern robotic knowledge on the principles of classical mechanics.