What is undamped free vibration?
The simplest vibrations to analyze are undamped, free, one degree of freedom vibrations. "Undamped" means that there are no energy losses with movement (whether intentional, by adding dampers, or unintentional, through drag or friction). An undamped system will vibrate forever without any additional applied forces.
How to Calculate Total Displacement of Forced Vibrations?
Total Displacement of Forced Vibrations calculator uses Total Displacement = Amplitude of Vibration*cos(Circular Damped Frequency-Phase Constant)+(Static Force*cos(Angular Velocity*Time Period-Phase Constant))/(sqrt((Damping Coefficient*Angular Velocity)^2-(Stiffness of Spring-Mass suspended from Spring*Angular Velocity^2)^2)) to calculate the Total Displacement, The Total displacement of forced vibrations formula implies that an object has moved, or has been displaced. Displacement is defined to be the change in position of an object. Total Displacement is denoted by dmass symbol.
How to calculate Total Displacement of Forced Vibrations using this online calculator? To use this online calculator for Total Displacement of Forced Vibrations, enter Amplitude of Vibration (A), Circular Damped Frequency (ωd), Phase Constant (ϕ), Static Force (Fx), Angular Velocity (ω), Time Period (tp), Damping Coefficient (c), Stiffness of Spring (k) & Mass suspended from Spring (m) and hit the calculate button. Here is how the Total Displacement of Forced Vibrations calculation can be explained with given input values -> 2.648875 = 5.25*cos(6-0.785398163397301)+(20*cos(10*1.2-0.785398163397301))/(sqrt((5*10)^2-(60-0.25*10^2)^2)).