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English translation: force/impulse step
| 18:37 Nov 8, 2017 |
| German to English translations [PRO] Tech/Engineering - Mechanics / Mech Engineering | |||||||
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|  Selected response from: Marcus Malabad Canada | ||||||
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| 5 +1 | force/impulse step |
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| 5 +1 | Heaviside/unit step function |
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| Discussion entries: 5 | |
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Answers
17 hrs confidence: 
peer agreement (net): +1
peer agreement (net): +1force/impulse step Explanation: Harald is right above. This is 'force step'. The previous Kudoz answer of "force jump" is incorrect. I remember this from advanced math in uni. About convolutions and signal processing. Basically convolution (Faltung) involves combining two signals to form a third (usually denoted with mathematical symbols f and g). An input signal is fed through a linear system with an inherent impulse response, producing an output signal. The impulse response is usually a delta function: x[n] * h[n] = y[n] (n = number of samples) Into words: the input signal (x[n]) convolved (*) with the impulse response (h[n]) yields the output signal (y[n]). So knowing how a system responds, you'll know what the input and output signals should be. Modifying (technically: shifting/scaling) the delta function (higher/lower) produces an amplifying or attenuating system (if the impulse response amplifies/attenuates the input signal, then the output signal is higher or lower than the input) - a low-pass or high-pass filter for example does this. In your case above, the input signal is a force step. "Sprung" here is not a jump. It's a step signal (first ref below) and so a step response is the behavior of a system over time when the input signals change from zero to one rapidly. Lot's of references for "force step response". I think "Kraft" here can be replaced by impulse since impulse is the word used in signal processing. The author may have used Kraft because it's a mechanical system. Convolution becomes complicated mathematically depending on how each sample in the input signal contributes to the output, or how each sample in the output signal receives information from the input. Your sentence: The input signal, a force step, is convolved with the weighting function and yields the response signal. Wow that was a long answer. I had time today and I haven't visited Kudoz for ages. Good luck! -------------------------------------------------- Note added at 17 hrs (2017-11-09 12:01:07 GMT) -------------------------------------------------- Wikipedia has a good discussion on step response/Sprungantwort: https://en.wikipedia.org/wiki/Step_response -------------------------------------------------- Note added at 18 hrs (2017-11-09 12:43:36 GMT) -------------------------------------------------- Thinking about it more, the answer is 'force step' (and not 'impulse step')! Reference: http://www2.hawaii.edu/~gurdal/EE315/class3.pdf Reference: http://www.dspguide.com/ch7/1.htm |
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1 day 4 hrs confidence: peer agreement (net): +1
peer agreement (net): +1Heaviside/unit step function Explanation: http://www.sinus-engineering.de/know-how/fachworterbuch/ Sprungfunktion > step function http://mathworld.wolfram.com/HeavisideStepFunction.html The Heaviside step function is a mathematical function denoted H(x), or sometimes theta(x) or u(x) (Abramowitz and Stegun 1972, p. 1020), and also known as the "unit step function." http://lpsa.swarthmore.edu/Transient/TransInputs/TransStep.h... One of the most common test inputs used is the unit step function... If the input force of the following system is a unit step, find v(t). http://lpsa.swarthmore.edu/Convolution/Convolution.html You know how to find the output y(t) if the input f(t) is a well defined input such as a step, impulse or sinusoid. Convolution allows you to determine the response to more complex inputs like the one shown below... Using the convolution integral it is possible to calculate the output, y(t), of any linear system given only the input, f(t), and the impulse response, h(t). However, this integration is often difficult, so we won't often do it explicitly. http://pages.jh.edu/~bmesignals/Lectures/Convolution.pdf Notice the output is a function of the input “convolved” with a property of the system,... This property we will call the “impulse response” of the system and we will study it extensively Should help with your whole document: https://web.stanford.edu/~boyd/ee102/tf.pdf convolution system with input u (u(t) = 0, t < 0) and output y: ... in the frequency domain: Y (s) = H(s)U(s) ² H is called the transfer function (TF) of the system ² h is called the impulse response of the system |
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