In this paper, I study the motion of the double pendulum . I write
the Euler -Lagrange equations and canonical Hamilton's
equations. I study the special case in which one angle is constant,
where the double pendulum behaves as a simple pendulum.
I also mention small oscillator's case, where the numerical solution
converges to the analytical solution, for unequal lengths and
masses.
This research has answer the question: how can structure reinforce
architectural design concepts in order to enrich architecture? After
acknowledging the relevance of design concepts in architecture,
recurring concepts in contemporary architecture were identified. The
most prevalent concepts found can be summarized as pairs of
opposing concepts: order-chaos, grounded-floating.