Moment of Inertia Measurement Systems

K-KAM Series Moment of Inertia and Center of Gravity Measurement Systems

moment of inertia and mass properties measurement

Our mass properties (mass, center of gravity and moment of inertia) measurement systems, which are admirably used around the world, accurately measure various subsystems, equipment, pods, ammunition, rockets, missiles, radars, land vehicles, aircraft and many other defense industry products. The systems we have developed so far have been used in the measurement of many samples ranging from 60 grams to 40 tons.

The superior qualities that constitute the reasons why our measurement systems are preferred in many countries of the world can be listed as follows:

  • Patented Precious Center of Gravity Measurement Algorithm
  • Special Degree of Freedom Joints and Mechanisms
  • Measuring Table Design Minimizing Positioning Error
  • Unique Electronic Equipment Developed Specially for Measuring Mass Properties
  • High frequency optical sensors and calculation algorithms for Moment of Inertia measurements
  • Heuristic Calibration Algorithm
  • User Friendly Interface Software

    •  >> Why you should use are K-KAM series ?

    K-KOC Moment of Inertia and Mass Properties Measurement Systems

    moment of inertia and mass properties measurement

    K-KAM Moment of Inertia and Mass Properties Measurement Systems are products with advanced features and user interface which can measure the masses, mass centers, inertia moments and product moments of objects of various weights and sizes in all axes and with a single fixture.

  • In this system, actuators give movements on roll, pitch and yaw axes. Using a single fixture, Ixx, Iyy, Izz and products of these should be calculated at the end of the measurement movements.
  • Friendly-user control panel provides movement of the control in a simple interface. In addition, measurement results are shown in control panel at the end of the process. In case of undesirable and emergency situations, using hand type emergency console, the system can be stopped.
  • Up to 1000 kg instruments, 1-phase electricity infrastructure are used. RJ45 connectable, TCP connection are used for communication with control panel and actuators.
  • In addition to K-KOC measurement system, mass properties measurement service can also be provided for large platforms.

    •  K-AM Technical Specs
     K-KAM Technical Specs

     >> Why you should use are K-AM series ?

    Need for Measuring Moment of Inertia Cross Products

    The Moment of Inertia and multiplication matrix are an important parameter used in various mechanical, kinematical and dynamical calculactions.

  • Inertia Weigh and Structural Analysis
  • Vehicle Dynamic
  • Flight Mechanic, Control and Simulation
  • Aeroelastic Analysis
  • Design Verification
  • Symmetry and Balance Control


    • Methods of Measurement of Inertia Moment

    There are four basic methods used in in the measurement of Moment of Inertia:

  • Measurement of Power and Movement
  • Rotary-platform Method
  • Pendulum Method
  • Multiple-Axes Pendulum Method


    • Power and Movement Measurement Method

  • The most basic inertia moment formula is used: T = Iα
  • Actuators are needed to move the object to be measured.
  • Measurement can be done on all axes with a single fixture.
  • The heavier the object that is measured gets, the higher the capacity and power of the actuators get.


    • Pendulum Method

  • It is the most basic method of measurement of moment of inertia.
  • Measurement is done through a pendulum from the top.
  • Big objects can be easily measured.
  • Easy formula: I = (mgb2T2) / (4π2h)


    • Rotary-platform Method

  • It uses the same theory as the pendulum method.
  • Measurement can be done from the bottom with air bearing and torsion spring.
  • Measurement can be done only on a single axis.
  • Different fixture is needed for each axis.

    • Multiple-Axes Pendulum Method

    moment of inertia and mass properties measurement The measurement platform is hung with springs from different points. As a result the platform can move in each direction and each axis. The power measurements obtained are examined in the frequence area, thank to developed calculation methods the frequences are separated and the inertia moments are calculated.

    But the moment of inertia of only one axis can be measured each time. After each measurement the limit have to be modified. But there is no need to modify the fixture. Its sensitivity is lower compared to other methodfs. Measurement can be done from the bottom with air bearing and torsion spring. Measurement can be done on only one axis. A fixture is needed for each axis.

    Measurement of Moment of Inertia for Air Vehicles

    moment of inertia and mass properties measurement

    The pendulum method is an old method used mostly for the measurement of moment of inertia of air vehicles, air platforms, rockets and pods. The first move can be done by a human of automatically by a linear actuator. There will be no need for complicated fixtures. The issue of developing a system of measurement of moment of inertia for air, maritime and land vehicles, platforms and pods has been evaluated. The main features of the system are as below:

  • Structure with structural design and analysis performed
  • Developed equipment and sensors
  • Real time data transfer, data processing and evaluation unit
  • Precise measurement of the moment of inertia of the vehicle on three main axes

    • Apart from these, we can develop the system thanks to the below features:

  • Design specific to the customer’s needs
  • Graphic user interface designed according to the customer’s will
  • Local system having price advantage compared to abroad
  • Uninterrupted technical support
  • Measurement through bottom air bearing and torsion spring.
  • Measurement can be done only on one axis.
  • Different fixture is needed for each axis.