Investigation of vibrational properties of apple, lemon and orange branches under dynamic loads

In the present research, investigation of vibrational properties of apple, orange and lemon tributaries is presented. Vibration of the samples were recorded by means of a digital video camera (Canon Sx 120IS) with 30 frames per second (fps). With reviewing the recorded frames in BsPlayer software, displacement of tip of the examined branches was measured and several vibrational characteristics were extracted or computed from the frames. Given the computed vibrational properties, a mathematical model is proposed for the free vibration of the apple, lemon and orange branches. Comparison between outputs of the model with the measurements indicates a good capability of the proposed model. The obtained results indicate that the orange branches have a significantly larger stiffness constant (k) and critical damping constant (cc) in compare to the apple and lemon branches.