Practice Gaussian Approximation (12.2.2) - Dirac Delta Function

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6 sample questions

Question 1.
What is the defining property of the Dirac delta function?
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Consider its behavior across a number line.
Question 2.
What does the term 'Gaussian' refer to in Gaussian approximation?
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Think of the graph of the function.
3Question 3.
What is the effect of reducing ϵ in the Gaussian approximation?
- The area increases
- The area stays the same
- The area decreases
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Remember the defining property of the delta function.
4Question 4.
True or False: The Gaussian approximation is the same as the Dirac delta function.
- True
- False
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Consider the limits of each function.
Question 5.
Discuss the limitations of using the Gaussian approximation in the case of sudden impact loads in structural systems.
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What are the sustaining forces in an actual impact scenario?
Question 6.
If a Gaussian function has a standard deviation of 1, how would you adjust it to better approximate a delta function?
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Focus on the properties of Gaussian functions and delta approximation.

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