ФИЗИКАЛЫҚ МАЯТНИКТЕРДІҢ ҚОЗҒАЛЫСЫНЫҢ МАТЕМАТИКАЛЫҚ МОДЕЛІ ЖӘНЕ ОЛАРДЫ ШЕШУДІҢ ЖОЛДАРЫ

Abstract

The model of physical pendulum motion is currently of great importance not only in physics but also in modern engineering and science. The main areas of application of the pendulum model are: in precision timekeeping systems, previously used only in mechanical clocks, the pendulum principle is now used to ensure the stability of resonator systems, synchronous generators, and sensors. In mechanical engineering and construction, it is widely used to improve the seismic resistance of buildings, to calculate the vibrations of bridges and towers, and to assess the dynamic equilibrium of suspension devices and mechanisms. Furthermore, in seismology and geophysics, pendulum oscillations allow for the recording of crustal movement during an earthquake, thereby enabling the precise analysis of seismological data and the calculation of earthquake energy. Therefore, the analysis of physical pendulums, the determination of their application areas, and the mathematical study of their types of motion are pressing problems.