FINDING THE NATURAL FREQUENCY OF HYDRAULIC CYLINDERS IN PROPORTIONAL VALVES APPLICATION SYSTEMS
From: "The Hydraulic Trainer Volume 2 - Mannesmann Rexroth" - 1989 - page 12

FINDING THE NATURAL FREQUENCY OF HYDRAULIC CYLINDERS IN PROPORTIONAL VALVES APPLICATION SYSTEMS

ABSTRACT

Ad Maiorem Dei Gloriam

In applications where high force, speed and position accuracy are required, the use of proportional hydraulic valves or servo valves is essential.

An important quantity to be obtained is the non damped natural frequency of the system.

In this simple article, it is showed a calculation of the Natural Frequency of a system with hydraulic differential cylinder moving a mass.

SUMMARY MAP OF PROPORTINAL HYDRAULIC APPLICATION TECHNOLOGY

From MANNESMANN REXROTH Proportional and Servo Vales Catalog 1987, page 5

BASIC FORM TO OBTAIN THE NON DAMPED NATURAL FREQUENCIES OF SOME HYDRAULIC SYSTEMS

From MANNESMANN REXROTH Proportional and Servo Vales Catalog 1987, page 7
From MANNESMANN REXROTH Proportional and Servo Vales Catalog 1987, page 8
From MANNESMANN REXROTH Proportional and Servo Vales Catalog 1987, page 9

RELATION BETWEEN NATURAL FREQUENCY OF SYSTEM AND NOMINAL SIZE OF THE VALVE (FORMERLY MANNESMANN REXROTH FIELD RESULTS)

From MANNESMANN REXROTH Proportional and Servo Vales Catalog 1987, page 10

EXAMPLE OF CALCULATION

From "The Hydraulic Trainer - Volume 2 - Mannesmann Rexrot - 1986" page 124
Calculation by "Smath Studio" - Freeware version

The obtained frequency is 75 radians per second. Due this:

For a 75 rad/s of non dumped natural frequency, valves of Size 32 are not able to use to this application.

The 32 size valves has a higher cost than the 25, 16 and 10 size valves.

A wrong choice maybe represents lost of cost and issues during the work.

CONCLUSION

As mentioned above, a wrong choice represents lost of cost and issues during the work. The Environment, Health and Security maybe will been affected in a critical form.

"Engineering without cost optimization is lost of time and money. Cost reducing without Engineering is madness"

Ad Maiorem Dei Gloriam









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