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ENGR5054: Engineering Dynamics (Semester 2 2025-2026:1[OBO])

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Determine the displacement amplitude (X) of a simple model of a motorbike in metres. (Express your answer to 3dp)

The vehicle and

rider have a mass of 118.8 kg. The system has a damping ratio of ξ =

0.1. The vehicle speed, v is 10.6 km/h, and the road surface can be

assumed to vary sinusoidally with an amplitude of 0.06m, and

wavelength of 6.8m.

The suspension stiffness, k, which is given in kN/m and is the missing number of the matrix shown in Figure 2 which follows a simple sequence.

 3x3 matrix, k11 is missing , k12 = 20, k13 = 30, k21 = 100, k22 = 200, k23 = 300, k31 = 1000, k32 = 2000 and k33 = 3000

Figure 2

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Find the natural frequency of the system in Hz. The mass is 600kg and the spring stiffness is 500kN/m.

The system parameters are: The beam of length L

= 4.5 m is made of steel

with Young’s modulus,

E = 203.8 x 109 N/m2

. The second moment of area of the beam

I = 1.2 x 10-4 m4. The stiffness of the spring, k, is given in the Figure in units of kN/m. The mass due to the load being lifted, m, is given in the figure in units of kg.

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Considering only the steady state solution, calculate the damping ratio. (Express answers to 3dp)

The system parameters are:  mass, m

= 13.4

kg, damping coefficient, and

c = 14.1 Ns/m. Both springs have the same spring stiffness, k

,

which is given in kN/m and is the missing number of

the matrix shown in Figure 2 which follows a simple sequence.

Figure 2 is a 3x3 matrix, k = 1, k12 is missing, k13 = 3, k21 = 10, k22 = 20, k23 = 30, k31 = 100, k32 = 200 and k33 = 300

Figure 2

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Reflection

(this section is worth 50% of the marks for this coursework assessment, i.e. 10% of the module marks.)

Please consider the following guides/points in completing this section:

Summarise in the short answer box/field below what you now know about the vibration theory of SDOF systems that you did not know prior to the start of this lab experiment and this module.  

What did you need to concentrate on when you were taking readings and other team members were leading?  (LO 16)

What did you need to think about and check when you were leading the team and other team members were taking the readings? (LO 16)

What processes or procedures did you use during this lab exercise and what would you take note of for future activities When you are a team member and when you are the team leader?  (LO 18)

We strongly recommend that you prepare your reflection in Word and then copy/paste to the box below with these section headings.

1. Key features of SDOF systems and modelling: (4% of module mark)

2. Good Experimental technique I will remember and use in the future when recording data as a team member: (2% of module mark)

3. Good leadership skills/attributes I have gained in organising and running a team: (2% of module mark)

4. How I will record and remember skills, processes, organisation and techniques for future activities?: (2% of module mark)

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