Lab 7 PHYSICS Palm beach

Figure 1 shows the vibration response of a spring-mass system (Figure 2) under initial disturbance. The response was recorded using an accelerometer (g = 9.81 m/s?). a) Determine the natural frequency of the system in rad/s. b) Determine maximum velocity and displacement. c) If another spring with equivalent stiffness is attached to the system, calculate the period of oscillation. 0.1 0.05 -0.05 -0.1 0.2 0.4 0.6 0.8 1 1.2 1.4 1.6 1.8 2 Time(s) Figure 1 k m Figure 2 (6)epnyduy

Which of these statements are correct?

Can you please show the complete solution of the image below. Thanks! Subject: Mechanical Vibration

Vibration Engineering

For a two degree of freedom system subject to free undamped vibrations, the inertia and stiffness coefficient matrices are given by: 67500] a) What type of coupling exits in this system? Briefly explain why. b) Calculate the natural frequencies of the system. c) Calcuate the ratio of amplitudes at each natural frequency. d) Calculate the orthonormalised eigenvectors and subsequently form the matrix of orthonormalised eigenvectors. [M] = [1000 25] and [k] = [4000 [40000 2.5 810.

You need to run some vibrations tests and your lab has an accelerometer (2nd order system) that has a natural frequency (resonance) at 3,000 Hz and damping ratio of 0.05. The vibrations you wish to measure are in the range of 100 - 1,200 Hz. a. What are the amplitude error (in %) and phase shift (in degrees) expected at the upper end of the vibration frequency range (1,200 Hz)? b. What is the maximum frequency that you can measure to have no more than 1% error in the amplitude of the reading? c. Is this a suitable choice of accelerometer for this measurement? Why or why not?

XXXXXXX XXXXXX XXXXXXX SOLVE STEP BY STEP THE FOLLOWING PROBLEM IN DIGITAL FORMAT PLEASE It is observed that the period of vibration of the system shown in figure 2 is 0.8 s. After cylinder C is withdrawn, the observed period corresponds to 0.6 s. After cylinders B and C are withdrawn, the observed period corresponds to 0.4 s. Determine: a) The mass of cylinder A b) The mass of cylinder B c) The spring constant k parad A B 3 lb C

Help with question D

A 50 kg machine is mounted on an isolator with a stiffness of 6 x 10^5 N/m. During operation, the machine is subject to a harmonic excitation with a frequency of 140 rad/s. a.) What is the frequency ratio? b.) Does this isolator actually isolate the vibrations?

3. Microfluidic channels will need to be fabricated on a key micro-scale sensor used by aerospace industries. Before running machining tests and analyzing machined quality, preliminary efforts are needed to evaluate selected materials and factors affecting machining process¹. Three material candidates have been selected, including 422SS (stainless steel), IN718 (nickel alloy), and Ti64 (titanium alloy) with their measured tensile properties and equation of true stress-true strain relationship used listed below. Tref25°C. Specifically, three factors will need to be evaluated, including different materials, temperature, and size effect. Please calculate true stress values for true strain ranging between 0-3 for each case listed below. Material A (MPa) & (S-¹) Tm (°C) 870 0.01 1520 422SS (Peyre et al., 2007) IN718 (Kobayashi et al., 2008) Ti64 (Umbrello, 2008) 980 1 1300 782.7 1E-5 1660 Material 422SS (CINDAS, 2011) IN718 (Davis, 1997) Ti64 (Fukuhara and Sanpei, 1993) 0 = X G (GPa) 1+ B…

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