Particular Integral in Longitudinal and Transverse Vibrations Formulas

Particular Integral is the integral of a function that is used to find the particular solution of a differential equation in under damped forced vibrations. And is denoted by x₂. Particular Integral is usually measured using the Meter for Length. Note that the value of Particular Integral is always positive. Typically, the value of Particular Integral is greater than 0.

Formulas to find Particular Integral in Longitudinal and Transverse Vibrations

fxParticular IntegralGo

Longitudinal and Transverse Vibrations formulas that make use of Particular Integral

fxTotal Displacement of Forced Vibration given Particular Integral and Complementary FunctionGo

List of variables in Longitudinal and Transverse Vibrations formulas

fx Static Force Go

fx Angular Velocity Go

fx Time Period Go

fx Phase Constant Go

fx Damping Coefficient Go

fx Stiffness of Spring Go

fx Mass suspended from Spring Go

FAQ

What is the Particular Integral?

Particular Integral is the integral of a function that is used to find the particular solution of a differential equation in under damped forced vibrations. Particular Integral is usually measured using the Meter for Length. Note that the value of Particular Integral is always positive. Typically, the value of Particular Integral is greater than 0.

Can the Particular Integral be negative?

No, the Particular Integral, measured in Length cannot be negative.

What unit is used to measure Particular Integral?

Particular Integral is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Particular Integral can be measured.

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