On Determination of Mode Shapes of Linear Continuous Systems


Department of Mechanical Engineering, Kharazmi University, ‎ Mofatteh Avenue, P.O. Box 15719-14911, Tehran, Iran‎


Determination of mode shapes of vibrating system is an important step in vibration analysis. A procedure to determine the mode shapes of linear continuous systems based on the concept of normal equation is presented. This procedure is very effective especially in implementing by computers. This method can be applied easily to multi-step structures such as stepped beams and bars. To demonstrate the application of the proposed method, some examples are solved