Damping Coefficient of Second Order Transmittance Calculator

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✖Input Resistance is an electrical component that limits or regulates the flow of electrical current in an electronic circuit.ⓘ Input Resistance [R_in]			+10% -10%
✖Initial Capacitance of coupling coefficient is the transfer of energy within an electrical network or between distant networks.ⓘ Initial Capacitance [C_in]			+10% -10%
✖Transmittance Filtering is a linear filter which attenuates the transmittance over a broad range of wavelengths.ⓘ Transmittance Filtering [K_f]			+10% -10%
✖Input Inductance is the tendency of an electrical conductor to oppose a change in the electric current flowing through it.ⓘ Input Inductance [L_o]			+10% -10%
✖Sample Signal Window typically refers to a specific section or range within a signal where sampling or analysis is performed. In various fields like signal processing.ⓘ Sample Signal Window [W_ss]			+10% -10%

✖The Damping Coefficient refers to the measure of effectiveness of damper, it reflects ability of damper to which it can resist the motion.ⓘ Damping Coefficient of Second Order Transmittance [ζ_o]

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Formula

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Damping Coefficient of Second Order Transmittance

Formula

`"ζ"_{"o"} = (1/2)*"R"_{"in"}*"C"_{"in"}*sqrt(("K"_{"f"}*"L"_{"o"})/("W"_{"ss"}*"C"_{"in"}))`

Example

`"2.896851Ns/m"=(1/2)*"4.51Ω"*"3.8F"*sqrt(("0.76"*"4H")/("7"*"3.8F"))`

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Damping Coefficient of Second Order Transmittance Solution

STEP 0: Pre-Calculation Summary

Formula Used

Damping Coefficient = (1/2)*Input Resistance*Initial Capacitance*sqrt((Transmittance Filtering*Input Inductance)/(Sample Signal Window*Initial Capacitance))
ζ_o = (1/2)*R_in*C_in*sqrt((K_f*L_o)/(W_ss*C_in))
This formula uses 1 Functions, 6 Variables

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

Damping Coefficient - (Measured in Newton Second per Meter) - The Damping Coefficient refers to the measure of effectiveness of damper, it reflects ability of damper to which it can resist the motion.
Input Resistance - (Measured in Ohm) - Input Resistance is an electrical component that limits or regulates the flow of electrical current in an electronic circuit.
Initial Capacitance - (Measured in Farad) - Initial Capacitance of coupling coefficient is the transfer of energy within an electrical network or between distant networks.
Transmittance Filtering - Transmittance Filtering is a linear filter which attenuates the transmittance over a broad range of wavelengths.
Input Inductance - (Measured in Henry) - Input Inductance is the tendency of an electrical conductor to oppose a change in the electric current flowing through it.
Sample Signal Window - Sample Signal Window typically refers to a specific section or range within a signal where sampling or analysis is performed. In various fields like signal processing.

STEP 1: Convert Input(s) to Base Unit

Input Resistance: 4.51 Ohm --> 4.51 Ohm No Conversion Required
Initial Capacitance: 3.8 Farad --> 3.8 Farad No Conversion Required
Transmittance Filtering: 0.76 --> No Conversion Required
Input Inductance: 4 Henry --> 4 Henry No Conversion Required
Sample Signal Window: 7 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

ζ_o = (1/2)*R_in*C_in*sqrt((K_f*L_o)/(W_ss*C_in)) --> (1/2)*4.51*3.8*sqrt((0.76*4)/(7*3.8))

Evaluating ... ...

ζ_o = 2.89685072350746

STEP 3: Convert Result to Output's Unit

2.89685072350746 Newton Second per Meter --> No Conversion Required

FINAL ANSWER

2.89685072350746 ≈ 2.896851 Newton Second per Meter <-- Damping Coefficient

(Calculation completed in 00.004 seconds)

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Created by Rahul Gupta

Chandigarh University (CU), Mohali, Punjab

Rahul Gupta has created this Calculator and 25+ more calculators!

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Chandigarh University (CU), Punjab

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< 14 Discrete Time Signals Calculators

Triangular Window

Go Triangular Window = 0.42-0.52*cos((2*pi*Number of Samples)/(Sample Signal Window-1))-0.08*cos((4*pi*Number of Samples)/(Sample Signal Window-1))

Damping Coefficient of Second Order Transmittance

Go Damping Coefficient = (1/2)*Input Resistance*Initial Capacitance*sqrt((Transmittance Filtering*Input Inductance)/(Sample Signal Window*Initial Capacitance))

Fourier Transform of Rectangular Window

Go Rectangular Window = sin(2*pi*Unlimited Time Signal*Input Periodic Frequency)/(pi*Input Periodic Frequency)

Sampling Frequency of Bilinear

Go Sampling Frequency = (pi*Distortion Frequency)/arctan((2*pi*Distortion Frequency)/Bilinear Frequency)

Bilinear Transformation Frequency

Go Bilinear Frequency = (2*pi*Distortion Frequency)/tan(pi*Distortion Frequency/Sampling Frequency)

Natural Angular Frequency of Second Order Transmittance

Go Natural Angular Frequency = sqrt((Transmittance Filtering*Input Inductance)/(Sample Signal Window*Initial Capacitance))

Cutoff Angular Frequency

Go Cutoff Angular Frequency = (Maximal Variation*Central Frequency)/(Sample Signal Window*Clock Count)

Maximal Variation of Cutoff Angular Frequency

Go Maximal Variation = (Cutoff Angular Frequency*Sample Signal Window*Clock Count)/Central Frequency

Inverse Transmittance Filtering

Go Inverse Transmittance Filtering = (sinc(pi*Input Periodic Frequency/Sampling Frequency))^-1

Hanning Window

Go Hanning Window = 1/2-(1/2)*cos((2*pi*Number of Samples)/(Sample Signal Window-1))

Hamming Window

Go Hamming Window = 0.54-0.46*cos((2*pi*Number of Samples)/(Sample Signal Window-1))

Transmittance Filtering

Go Transmittance Filtering = sinc(pi*(Input Periodic Frequency/Sampling Frequency))

Initial Frequency of Dirac Comb Angle

Go Initial Frequency = (2*pi*Input Periodic Frequency)/Signal Angle

Frequency Dirac Comb Angle

Go Signal Angle = 2*pi*Input Periodic Frequency*1/Initial Frequency

Damping Coefficient of Second Order Transmittance Formula

What is a normal damping coefficient?

The normal range for damping coefficients is from 0% to 50%. If you enter values outside this range, Creo Simulate asks you to confirm each value.

How to Calculate Damping Coefficient of Second Order Transmittance?

Damping Coefficient of Second Order Transmittance calculator uses Damping Coefficient = (1/2)*Input Resistance*Initial Capacitance*sqrt((Transmittance Filtering*Input Inductance)/(Sample Signal Window*Initial Capacitance)) to calculate the Damping Coefficient, The Damping Coefficient of Second order Transmittance formula is defined as a measure of how quickly it returns to rest as the frictional force dissipates its oscillation energy. Damping Coefficient is denoted by ζ_o symbol.

How to calculate Damping Coefficient of Second Order Transmittance using this online calculator? To use this online calculator for Damping Coefficient of Second Order Transmittance, enter Input Resistance (R_in), Initial Capacitance (C_in), Transmittance Filtering (K_f), Input Inductance (L_o) & Sample Signal Window (W_ss) and hit the calculate button. Here is how the Damping Coefficient of Second Order Transmittance calculation can be explained with given input values -> 2.896851 = (1/2)*4.51*3.8*sqrt((0.76*4)/(7*3.8)).

FAQ

What is Damping Coefficient of Second Order Transmittance?

The Damping Coefficient of Second order Transmittance formula is defined as a measure of how quickly it returns to rest as the frictional force dissipates its oscillation energy and is represented as ζ_o = (1/2)*R_in*C_in*sqrt((K_f*L_o)/(W_ss*C_in)) or Damping Coefficient = (1/2)*Input Resistance*Initial Capacitance*sqrt((Transmittance Filtering*Input Inductance)/(Sample Signal Window*Initial Capacitance)). Input Resistance is an electrical component that limits or regulates the flow of electrical current in an electronic circuit, Initial Capacitance of coupling coefficient is the transfer of energy within an electrical network or between distant networks, Transmittance Filtering is a linear filter which attenuates the transmittance over a broad range of wavelengths, Input Inductance is the tendency of an electrical conductor to oppose a change in the electric current flowing through it & Sample Signal Window typically refers to a specific section or range within a signal where sampling or analysis is performed. In various fields like signal processing.

How to calculate Damping Coefficient of Second Order Transmittance?

The Damping Coefficient of Second order Transmittance formula is defined as a measure of how quickly it returns to rest as the frictional force dissipates its oscillation energy is calculated using Damping Coefficient = (1/2)*Input Resistance*Initial Capacitance*sqrt((Transmittance Filtering*Input Inductance)/(Sample Signal Window*Initial Capacitance)). To calculate Damping Coefficient of Second Order Transmittance, you need Input Resistance (R_in), Initial Capacitance (C_in), Transmittance Filtering (K_f), Input Inductance (L_o) & Sample Signal Window (W_ss). With our tool, you need to enter the respective value for Input Resistance, Initial Capacitance, Transmittance Filtering, Input Inductance & Sample Signal Window and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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