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(d) Describe the methodology of finite element model of the cantilever beam using SolidWorks.

(d) Describe the methodology of finite element model of the cantilever beam using SolidWorks.

Computer Networking: A Top-Down Approach (7th Edition)
Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
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Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
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Only do D
the natural frequencies are   w1 = 0.493Hz, w2 = 3.08Hz, w 3 = 8.63Hz the question is C

Pre-measured experimental data: Using the experimental data given below, complete the lab report as detailed in the deliverable. Beam dimensions - breadth=0.0254m, depth=0.0032m, length=0.410m. Damped natural frequency 011 @d2 @d3 wn = az Experimentally measured value (Hz) 12.02 90.84 214.7 Deliverable (a) Mathematical modelling of the cantilever beam: Theoretically model the cantilever beam, using the physical measurements of the cantilever beam, as one degree of freedom system. Calculate the first natural frequency of the beam. EI PALA (b) Research Euler-Bernoulli beam theory and utilising the physical measurements of the cantilever beam. Calculate the first three natural frequencies of your experimental system using Euler Bernoulli beam theory. Theoretical details: The fixed-free cantilever beam system is an example of a continuous distribution of mass system and can have many natural frequencies. Euler Bernoulli beam theory yields a formula to calculate the natural frequencies of your experimental system. Node, distance from fixed end of the beam (m) E-Young's modulus for mild steel = 210GPa L-Length of the beam A- the cross-sectional area of the beam p - the density for the beam, for mild steel = 7850Kgm-³ an - is a constant, for a fixed-free beam Where I is the second moment of area [2] 1=bd² b-breadth of the beam d-depth of the beam 0.335 0.187, 0.350 a₁ = 1.875 a₂ = 4.694 a3 = 7.855
Transcribed Image Text:Pre-measured experimental data: Using the experimental data given below, complete the lab report as detailed in the deliverable. Beam dimensions - breadth=0.0254m, depth=0.0032m, length=0.410m. Damped natural frequency 011 @d2 @d3 wn = az Experimentally measured value (Hz) 12.02 90.84 214.7 Deliverable (a) Mathematical modelling of the cantilever beam: Theoretically model the cantilever beam, using the physical measurements of the cantilever beam, as one degree of freedom system. Calculate the first natural frequency of the beam. EI PALA (b) Research Euler-Bernoulli beam theory and utilising the physical measurements of the cantilever beam. Calculate the first three natural frequencies of your experimental system using Euler Bernoulli beam theory. Theoretical details: The fixed-free cantilever beam system is an example of a continuous distribution of mass system and can have many natural frequencies. Euler Bernoulli beam theory yields a formula to calculate the natural frequencies of your experimental system. Node, distance from fixed end of the beam (m) E-Young's modulus for mild steel = 210GPa L-Length of the beam A- the cross-sectional area of the beam p - the density for the beam, for mild steel = 7850Kgm-³ an - is a constant, for a fixed-free beam Where I is the second moment of area [2] 1=bd² b-breadth of the beam d-depth of the beam 0.335 0.187, 0.350 a₁ = 1.875 a₂ = 4.694 a3 = 7.855
(c) Euler-Bernoulli beam theory can also be used to determine the theoretical mode shapes associated with these natural frequencies. As a self-directed study, you should investigate the relevant equations to describe the mode shapes associated with these natural frequencies and calculate the first three mode shapes (shape of the cantilever beam as it vibrates) associated with each of these natural frequencies. (d) Describe the methodology of finite element model of the cantilever beam using SolidWorks. (e) Model the cantilever beam using SolidWorks and extract the first three natural frequencies and their associated transverse mode shapes for the cantilever beam. Assume the beam is in a fixed-free constrained condition. You should also utilise the following information: E-Young's modulus for mild steel = 210GPa p - the density for the beam, for mild steel = 7850Kgm-³ (f) Compare the experimental, Theoretical and FE results showing the relationship between each set of results - experimental, theoretical and FE method. (Be clear and concise). (g) Discuss the accuracy and precision of your results. Discuss any errors, limitation and any recommendation on how to improve the results. (h) Draw together the most important results and their significances
Transcribed Image Text:(c) Euler-Bernoulli beam theory can also be used to determine the theoretical mode shapes associated with these natural frequencies. As a self-directed study, you should investigate the relevant equations to describe the mode shapes associated with these natural frequencies and calculate the first three mode shapes (shape of the cantilever beam as it vibrates) associated with each of these natural frequencies. (d) Describe the methodology of finite element model of the cantilever beam using SolidWorks. (e) Model the cantilever beam using SolidWorks and extract the first three natural frequencies and their associated transverse mode shapes for the cantilever beam. Assume the beam is in a fixed-free constrained condition. You should also utilise the following information: E-Young's modulus for mild steel = 210GPa p - the density for the beam, for mild steel = 7850Kgm-³ (f) Compare the experimental, Theoretical and FE results showing the relationship between each set of results - experimental, theoretical and FE method. (Be clear and concise). (g) Discuss the accuracy and precision of your results. Discuss any errors, limitation and any recommendation on how to improve the results. (h) Draw together the most important results and their significances
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