A basic pendulum is a mass at the end of a string that swings back and forth. It seems simple, and it appears in most introductory physics textbooks. But it's not a trivial problem to solve for the ...

Bridges play a critical role in transportation infrastructure, and ensuring their safety is a key concern for structural engineers. Various seismic isolation techniques have been introduced to ...

The inverted pendulum is controlled in this article by using the nonlinear control theory. From classical analytical mechanics, its substructure equation of motion is derived. Because of the inclusion ...

Looking back at part I of this idea, I don't think I did a very good job. Let me summarize the key things I wanted to say: Normally, there are two ways of modeling the motion of an object: Calculating ...

Keywords: XY-friction pendulum (XY-FP) bearings. Seismic isolation. Truss-bridge models. Numerical analyses. Harmonic simulations. Earthquake simulations. Flat sliding (FS) bearings. Seismic ...