FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Dunkerley's Empirical Formula, for Natural Frequency of Whole System Formula

GoNatural Frequency of Transverse Vibration due to Uniformly Distributed Load Formula

GoNatural Frequency of Transverse Vibration due to Point Load Formula

Fx Copy

LaTeX Copy

Frequency is the number of oscillations or cycles per second of a system undergoing free transverse vibrations, characterizing its natural vibrational behavior. Check FAQs

f = \frac{0.4985}{\sqrt{δ 1 + \frac{δ s}{1.27}}}

f - Frequency?δ₁ - Static deflection due to point load?δ_s - Static Deflection due to Uniform Load?

Dunkerley's Empirical Formula, for Natural Frequency of Whole System Example

With values

With units

Only example

Here is how the Dunkerley's Empirical Formula, for Natural Frequency of Whole System equation looks like with Values.

Here is how the Dunkerley's Empirical Formula, for Natural Frequency of Whole System equation looks like with Units.

Here is how the Dunkerley's Empirical Formula, for Natural Frequency of Whole System equation looks like.

0.4138 = \frac{0.4985}{\sqrt{0.9 + \frac{0.7}{1.27}}}

0.4138Hz = \frac{0.4985}{\sqrt{0.9m + \frac{0.7m}{1.27}}}

0.4138 = \frac{0.4985}{\sqrt{0.9 + \frac{0.7}{1.27}}}

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Physics » Category

Mechanical » Category

Theory of Machine » fx Dunkerley's Empirical Formula, for Natural Frequency of Whole System

Dunkerley's Empirical Formula, for Natural Frequency of Whole System Solution

Follow our step by step solution on how to calculate Dunkerley's Empirical Formula, for Natural Frequency of Whole System?

FIRST Step Consider the formula

f = \frac{0.4985}{\sqrt{δ 1 + \frac{δ s}{1.27}}}

Next Step Substitute values of Variables

∴

f = \frac{0.4985}{\sqrt{0.9m + \frac{0.7m}{1.27}}}

Next Step Prepare to Evaluate

∴

f = \frac{0.4985}{\sqrt{0.9 + \frac{0.7}{1.27}}}

Next Step Evaluate

∴

f = 0.4138132149065Hz

LAST Step Rounding Answer

∴

f = 0.4138Hz

Dunkerley's Empirical Formula, for Natural Frequency of Whole System Formula Elements

Variables

Functions

Frequency

Frequency is the number of oscillations or cycles per second of a system undergoing free transverse vibrations, characterizing its natural vibrational behavior.

Symbol: f

Measurement: FrequencyUnit: Hz

Note: Value can be positive or negative.

Formulas to find Frequency

Static deflection due to point load

Static deflection due to point load is the maximum displacement of a beam's point of application of a load in free transverse vibrations.

Symbol: δ₁

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Static deflection due to point load

Static Deflection due to Uniform Load

Static Deflection due to Uniform Load is the maximum displacement of a beam or structure under uniform load in free transverse vibrations.

Symbol: δ_s

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Static Deflection due to Uniform Load

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.

Syntax: sqrt(Number)

Other Formulas to find Frequency

Go Natural Frequency of Transverse Vibration due to Uniformly Distributed Load

f = \frac{0.5615}{\sqrt{δ s}}

Go Natural Frequency of Transverse Vibration due to Point Load

f = \frac{0.4985}{\sqrt{δ 1}}

How to Evaluate Dunkerley's Empirical Formula, for Natural Frequency of Whole System?

Dunkerley's Empirical Formula, for Natural Frequency of Whole System evaluator uses Frequency = 0.4985/sqrt(Static deflection due to point load+Static Deflection due to Uniform Load/1.27) to evaluate the Frequency, Dunkerley's Empirical Formula, for Natural Frequency of Whole System formula is defined as a method to estimate the natural frequency of a whole system, considering the stiffness and mass distribution of its components, providing a practical approach to predict the frequency of free transverse vibrations in complex systems. Frequency is denoted by f symbol.

How to evaluate Dunkerley's Empirical Formula, for Natural Frequency of Whole System using this online evaluator? To use this online evaluator for Dunkerley's Empirical Formula, for Natural Frequency of Whole System, enter Static deflection due to point load (δ₁) & Static Deflection due to Uniform Load (δ_s) and hit the calculate button.

FAQs on Dunkerley's Empirical Formula, for Natural Frequency of Whole System

What is the formula to find Dunkerley's Empirical Formula, for Natural Frequency of Whole System?

The formula of Dunkerley's Empirical Formula, for Natural Frequency of Whole System is expressed as Frequency = 0.4985/sqrt(Static deflection due to point load+Static Deflection due to Uniform Load/1.27). Here is an example- 0.413813 = 0.4985/sqrt(0.9+0.7/1.27).

How to calculate Dunkerley's Empirical Formula, for Natural Frequency of Whole System?

With Static deflection due to point load (δ₁) & Static Deflection due to Uniform Load (δ_s) we can find Dunkerley's Empirical Formula, for Natural Frequency of Whole System using the formula - Frequency = 0.4985/sqrt(Static deflection due to point load+Static Deflection due to Uniform Load/1.27). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Frequency?

Here are the different ways to Calculate Frequency-

Frequency=0.5615/(sqrt(Static Deflection due to Uniform Load))
Frequency=0.4985/(sqrt(Static deflection due to point load))

Can the Dunkerley's Empirical Formula, for Natural Frequency of Whole System be negative?

Yes, the Dunkerley's Empirical Formula, for Natural Frequency of Whole System, measured in Frequency can be negative.

Which unit is used to measure Dunkerley's Empirical Formula, for Natural Frequency of Whole System?

Dunkerley's Empirical Formula, for Natural Frequency of Whole System is usually measured using the Hertz[Hz] for Frequency. Petahertz[Hz], Terahertz[Hz], Gigahertz[Hz] are the few other units in which Dunkerley's Empirical Formula, for Natural Frequency of Whole System can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit