Mass-spring-damper rotational system. Problems solved. Catalog 3

The transfer function of a rotational 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: € 15

Below, the statements of problems solved in this guide.

1. Given the System of Figure 22, find the transfer function Θ_(s)/T_(s).

2. Given the System of Figure 23, find the transfer function Θ_(s)/T_(s).

3. Given the System of Figure 24, find the transfer functions Θ_1(s)/T_(s)  and Θ_2(s)/T_(s).

4. Find the state-space representation of the system of the previous exercise, Figure 24, taking Θ_1(t)  as the output and T_(t) as the input. Build the block diagram of the system and determine the transfer function Θ_1(s)/T_(s).

5. Given the System of Figure 26, find the transfer function Θ_L(s)/T_m(s).

6. Given the System of Figure 27, find the transfer functions Θ_1(s)/T_m(s) and Θ_2(s)/T_m(s).

7. Given the System of Figure 28, find the transfer functions Θ_1(s)/T_(s) and Θ_2(s)/T_(s).

8. Given the System of Figure 29, find the transfer function Θ_2(s)/T_(s).

9. Given the System of Figure 30, find the transfer functions  Θ_1(s)/T_(s) and Θ_2(s)/T_(s) . Consider: k₁=9, k₂=3 N-m/rad, b₁=8, b₂=1 N-m-s/rad, J₁=5, J₂=3 Kg-m².

10. Find the state-space representation of the system of the previous exercise, Figure 30, taking Θ_2(t) as the output and T_(t) as the input. Direct Transform the state-space representation obtained into the transfer function Θ_2(s)/T_(s). Consider k₁=9, k₂=3 N-m/rad, b₁=8, b₂=1 N-m-s/rad, J₁=5, J₂=3 Kg-m².

11. Find the state-space representation of the system in Figure 32, taking Θ_2(t)  as the output and T_(t) as the input. Directly, using Matlab, Transform the state-space representation obtained into the transfer function  Θ_2(s)/T_(s). Consider k₁= k₂=1 N-m/rad, b₁= b₂=1 N-m/rad, J=1 Kg-m².

12. Given the System of Figure 33, find the transfer functions  Θ_1(s)/T_m(s) and Θ_2(s)/T_m(s).

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You may be also interested in:

• Mass-Spring-Damper System. Problem solved. Catalog 1
• Mass-Spring-Damper System. Problem solved. Catalog 2

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