Simple Harmonic Motion and Oscillatory Systems

PARAMETER ESTIMATION FOR OSCILLATORY SYSTEMS

Proceedings of the YSU A: Physical and Mathematical Sciences ◽

10.46991/pysu:a/2021.55.2.131 ◽

2021 ◽

Vol 55 (2 (255)) ◽

pp. 131-140

Author(s):

Ashot A. Matevosyan ◽

Aram G. Matevosyan

Keyword(s):

Parameter Estimation ◽

Quality Factor ◽

Natural Frequency ◽

Probabilistic Model ◽

System Parameters ◽

Harmonic Motion ◽

Oscillatory Systems ◽

Simple Harmonic Motion ◽

Resonance Curves

Simple harmonic motion was investigated of a rotational oscillating system. The effect of dumping and forcing on motion of the system was examined and measurements were taken. Resonance in a oscillating system was investigated and quality factor of the dumping system was measured at different damping forces using three different methods. Resonance curves were constructed at two different damping forces. A probabilistic model was built and system parameters were estimated from the resonance curves using Stan sampling platform. The quality factor of the oscillating system when the additional dumping was turned off was estimated to be $Q = \num{71 \pm 1}$ and natural frequency $\omega_0 = \num{3.105 \pm 0.008}\, \si{\per\second}$.

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Error analysis of initial angle for simple harmonic motion in science experiment education

Journal of educational Research Institute ◽

10.15564/jeju.2017.11.19.2.155 ◽

2017 ◽

Vol 19 (2) ◽

pp. 155-167

Author(s):

Se-Hun Kim

Keyword(s):

Error Analysis ◽

Initial Angle ◽

Harmonic Motion ◽

Simple Harmonic Motion

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TPT NOTES: Damped Simple Harmonic Motion on a Linear Air Track

The Physics Teacher ◽

10.1119/1.2352550 ◽

1969 ◽

Vol 7 (7) ◽

pp. 395-396

Author(s):

Thomas B. Greenslade

Keyword(s):

Harmonic Motion ◽

Simple Harmonic Motion

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Response characteristics of electromagnetic seismographs and their dependence on the instrumental constants

Bulletin of the Seismological Society of America ◽

10.1785/bssa0390030205 ◽

1949 ◽

Vol 39 (3) ◽

pp. 205-218

Author(s):

S. K. Chakrabarty

Keyword(s):

General Solution ◽

Equation Of Motion ◽

Harmonic Motion ◽

Response Characteristics ◽

Local Earthquakes ◽

Simple Harmonic Motion ◽

The Earth ◽

Electromagnetic Seismograph ◽

Different Types ◽

Proper Values

Summary The equation of motion of the seismometer and the galvanometer in an electromagnetic seismograph has been derived in the most general form taking into consideration all the forces acting on the system except that produced by hysteresis. A general solution has been derived assuming that the earth or the seismometer frame is subjected to a sustained simple harmonic motion, and expressions for both the transient and the steady term in the solution have been given. The results for the particular case when the seismograph satisfies the Galitzin conditions can easily be deduced from the results given in the present paper. The results can now be used to study the response characteristics of all electromagnetic seismographs, whether they satisfy the Galitzin conditions or not, and will thus give an accurate theoretical picture of the response also of seismographs used for the study of “local earthquakes” and “microseisms” which do not in general obey the Galitzin conditions. The results obtained can also be used to get analytically the response of the seismographs for different types of earth motion from the very beginning, and not only after the transient term has disappeared. The theory of the response to simple tests used to determine the dynamic magnification of any seismograph and also to determine and check regularly the instrumental constants of the seismographs has been worked out. The results obtained can also be used for ascertaining the proper values of the instrumental constants suitable for the various purposes for which the seismographs are to be used.

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