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Dynamics and Control 2: VibrationMECH ENG 3028Vibration Behavior of a Cantilever Beam Lab ReportName: Jiatong ZhangID: a1692013Date of the lab: 17 August 2016Due date of the report: 31August 2016Vibration Behavior of a Cantilever Beam1. Executive SummaryThis experiment is about the vibration behavior of a cantilever beam. There are two purposes in this experiment, the first one is to analyze the cantilever beam system, and the other aim is to understand the vibration about the cantilever beam system. There are two models in this experiment, one is the simple cantilever beam system without any mass on the system, and the other one is to add a mass on one side. 2.Results and DiscussionGenerally, the theoretical frequencies of the cantilever beam can be calculated by following equation:, A=hbIdeally, the systematic vibration frequency can be calculated by following equation: the properties for the cantilever beam are shown as following table: Table 1. Properties for the cantilever beamThe results are shown as follow: ModeλＬλf (Hz)ω(rad/s)11.87514.83274226816.376102.89324.694112.09817268101.962640.64637.854820.24421907285831410.995528.3390232559.4593515.191Table 2. Theoretical frequencies2. Do the connections in the experiment to test the signal on the oscilloscope with a 10 Hertz, 6 Volt peak-peak sine wave signal.3. During the second step, students have to make sure that connect the output of the signal generator to the input of the machine correctly. And then, students need to adjust the frequency of the beam with the signal generator, at the same time, recording the data about displacement.4. Because of the setting frequency is around 16Hz, and 16.27Hz is the maximum frequency, which is also the theoretical frequency. And then record the experimental resonant frequency, 15.3065Hz. 5. the differences between the theoretical and experimental value of frequency are shown as follow:Resonance Frequency(Hz)Theoretical 16.376Experimental15.3065Error6.53Table 3. T