Análisis de sistemas de control, Dinámica de sistemas, Función de Transferencia, Ingeniería Mecánica, Variables de estado

Mass-spring-damper Problems solved. Catalog 1

The transfer function of a Mass-Spring-Damper System. 

In this PDF guide, the Transfer Function of the exercises that are most commonly used in the mass-spring-damper system classes that are in turn part of control systems, signals and systems, analysis of electrical networks with DC motor, is determined. electronic systems in mechatronics, etc. It is a good resource to also learn how to obtain the block diagram of the system, or the representation in state variables. Request via email – WhatsApp. Payment is provided by PayPal, Credit or debit card. Cost: € 5

Below, the statements of problems solved in this guide.

  1. Given the System of Figure 1, find the transfer function X(s)/U(s).

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2. Given the System of Figure 2, find the transfer function X(s)/Y(s) .

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3. Given the System of Figure 3, find the transfer function X2(s)/U(s) using its model in the frequency domain and linear algebra.

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4. Given the System of Figure 4, find the transfer function Y2(s)/U(s):

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5. Given the System of Figure 5, find the transfer function X2(s)/U(s). Illustrate the use of free-body diagrams.

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6. Given the System of Figure 6, find the transfer functions X1(s)/U(s) and X2(s)/U(s).

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7. Given the System of Figure 7, find the transfer function X(s)/U(s). Check the same result using the combination of state-space representation and block diagrams. Take u(t) as the input and x(t) as the output.

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8. Given the System of Figure 8, find its state-space representation, taking x1(t) as the output and u(t) as the input. Build the block diagram of the system and determine the transfer function  X1(s)/U(s).

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9.Given the System of Figure 9, find the transfer function X2(s)/U(s). Consider k1= k2=6 N/m, b1= b2= b3=2 N-s/m, m1= m2= m3=4 Kg. Illustrate the use of Matlab and linear algebra.

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10. Given the System of Figure 10, find the transfer functions Y1(s)/U(s) and Y2(s)/U(s). Consider k1= k2=2 N/m, b=1 N-s/m, m1= m2= 2 Kg. (The same exercise is solved with state variables in the exercise 11)

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11. Find the state-space representation of the system of the previous exercise, Figure 10, taking y2(t) as the output and u(t) as the input. Transform the state-space representation obtained in the transfer function Y2(s)/U(s). Consider k1= k2=2 N/m, b=1 N-s/m, m1= m2= 2 Kg.

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Mass-spring-damper system. Problems solved. Catalog 1

In this PDF guide, the Transfer Function of the exercises that are most commonly used in the mass-spring-damper system classes that are in turn part of control systems, signals and systems, analysis of electrical networks with DC motor, is determined. electronic systems in mechatronics, etc. It is a good resource to also learn how to obtain the block diagram of the system, or the representation in state variables. Request via email – WhatsApp. Payment is provided by PayPal, Credit or debit card. Cost: € 5

€5,00

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