Educators can stand in front of students all day long and lecture on how to hit a tennis ball, change the oil in a car, or run a corporation. Physics stack exchange is a question and answer site for active researchers, academics and students of physics. A voice coil is attached at the left side to add variable damping. A more indepth tutorial is available for further study. If you want to try it first, or look at the complete source code, see massspringdamper. The controlled physical system was a rectilinear springmass damper system, model m210, from educational control products ecp14. Initialize variables for a mass spring damper system. Tex latex stack exchange is a question and answer site for users of tex, latex, context, and related typesetting systems.
Screenshot of a simple labview program that generates, synthesizes, analyzes. The analog output must output 10 volts for the first 10 seconds to lift the mass. The sprung mass, ms, represents the mass of the vehicle body while the. The fact is that my spring isnt a linear one, but relation to acceleration is known. Integrate the labview vi for testing the actual msd mass spring damper with the vi which simulates the msd 2. It involves a spring, a mass, a sensor, an acquisition system and a computer with a signal processing software as shown in fig. Evaluation of methods for analysis of multidegreeof. In this set of experiments for the qnet physics and dynamics addon board, students learn the basic principles related to physics and engineering dynamics. Accelerometer is used as a sensor to sense the motion of vibration and transfers the data to the computer. Using labview data flow to model the differential equation, the spring mass damper code resembles figure 4. Active suspension laboratory guide madeforscience gmbh.
Specifically, the motor is programmed to generate the torque given by the relation tkkk. The second order model can be used to describe a mass spring damper system or an rlc circuit. These systems may range from the suspension in a car to the most complex robotics. In this lab, the dynamics of a secondorder system composed of a spring, mass and damper are examined. This system consists of a spring and a damper, respectively represented by a cantilever and an air dashpot figure 1.
Hang the mass spring system high over your lab bench and place the sonar detector above it. I dont want to buy the labview simulation toolbox as i think this is too much right now. The aim of this instructable is to explain the process of taking a statespace system and simulate the step response using matlab. The mass of the dynamic system is lumped into a single point mass in the msd system. The massspringdamper system is a standard example of a second order system, since it relatively easy to give a physical interpretation of the model parameters of the second order system. Me451 laboratory time response modeling and experimental.
Tasks unless otherwise stated, it is assumed that you use the default values of the parameters. Basics of control design and simulation national instruments. The two results should be almost identical programming requirement. This example shows how you can iterate the transfer function of a mass spring damper system. The stretch of the spring is calculated based on the position of the blocks. Mass spring set daq ni usb6009 vernier labquest daq computer. The hardware part of the experiment used the abovementioned system, servo amplifier, multiq3 data acquisition card, io terminal board. Intelligent engineering systems through artificial neural. The dynamic response measurement workstation consists of a mass spring system, one position sensor linear potentiometer and one acceleration sensor vernier accelerometer, with data acquisition system daq ni usb6009 and labview 20 software. A mass connected to a spring and a damper is displaced and then oscillates in the absence of other forces. This experiment is for the free vibration analysis of a springmass system without any external damper. This lecture introduces basic vibration modeling of a massspringdamper system, and the use of a single story one degree of freedom lab setup. A mass spring damper system is simulated, see the front panel of the simulator. With the ni labview control design and simulation module, you can analyze openloop model behavior, design closedloop controllers, simulate online and offline systems, and conduct physical implementations.
In the second semester of teaching the course, labview from national instruments was utilized for all prelaboratory homework as. To study the dynamic characteristics of a springmassdamper system. How to model a simple springmassdamper dynamic system in. To do this, the mass spring damper system shown above will be used as an example. We will simulate this system using labview environment. Rt module with graphical programming to define custom software. While the underlying physics are well understood, there exist many different means and ways to arrive at an end result. To answer this question, use the block substitution feature of sltuner to create an uncertain closedloop model of the mass spring damper system. Iterate transfer function of a massspringdamper model in. Labview statespace hardware and software prototyping. The mathematical model of the system can be derived from a force balance or newtons second law. I already found the two differential equations of the system. Initialize variables for a massspringdamper system. Now using newtons law f m a and the definition of acceleration as a x we can write two second order differential equations.
A discussion of vibration theory usually begins with the analysis of a simple mass, spring and damper system. A mass spring damper msd system is a discretized model of any dynamic system. The simscape model uses physical connections, which permit a bidirectional flow of energy between components. The experimental setup included the hardware and the software. When the suspension system is designed, a 14 model one of the four wheels is used to simplify the problem to a 1d multiple spring damper system. Is there any method of building one similar to the one you would do in simulink. As shown in figure 1, the system consists of a cylindrical shaft riding on air bearings.
This example shows two models of a double massspringdamper, one using simulink inputoutput blocks and one using simscape physical networks. Labview statespace prototyping hardware and software. Take advantage of a wide range of solvers and functionality to build and analyze your system. This lecture introduces basic vibration modeling of a mass spring damper system, and the use of a single story one degree of freedom lab setup. Mass spring damper lab reporting smart online writing. This tutorial provides an introduction to the labview control design and simulation. But how robust is it to variations of robustness analysis. System dynamics, stella program, spring mass system introduction one of the best ways to learn is to participate in a project.
The spring and damper elements are in mechanical parallel and support the seismic mass within the case. Oscillation response is controlled by two fundamental parameters, tau and zeta, that set the amplitude and frequency of the oscillation. This system consists of two masses, each supported by a spring and a damper. The simulink model uses signal connections, which define how data flows from one block to another. The software part consisted of wincon software with matlabsimulink. Springmassdamper system as statespace model in matlab. A simple mass spring damper system can be formulated as. This is because once you analyze the vibration process for this system you can then apply the results to the most complicated vibrating structure. This example shows how you can use block variable initialization, and how it affects the simulation results of a simple mechanical system. The driving mass spring workstation includes an ecp model 210a rectilinear control system that is connected to a pc containing the required ecp software. The model is a classical unforced mass spring damper system, with the oscillations of the mass caused by the initial deformation of the spring. Observe the open loop pole locations and system response for a keep 0. A massspringdamper system is simulated, see the front panel of the simulator. The components of the board and accompanying labs are designed to map.
This application calculates the optimum spring and damping constant of a parasitic tuned mass damper that the minimizes the vibration of the system. The nominal response meets the response time requirement and looks good. A simple massspringdamper system can be formulated as. Determine the solution of the following differential equation for a spring mass damper system.
A second order system is used to introduce the use of the software for analysis and simulation of a simple system. This example shows two models of a massspringdamper, one using simulink inputoutput blocks and one using simscape physical networks. Now lets add one more spring mass to make it 4 masses and 5 springs connected as shown below. A simple mass springdamper system can be formulated as. This section will describe how to simulate a transfer function in labview. Introduction to labview in 3 hours for control design and simulation. Multiple experiments, from a translational mass springdamping system to more complex ones, like the rotary inverted. Block substitution lets you specify the linearization of a particular block in a simulink model. Im trying to model a system with two masses, two springs, two dampers, and one applied force using transfer functions. These are the equations of motion for the double spring. Labs for quanser qnet physics and dynamics addon board. Damper, spting and mass components have since been added to the standard circuitiz set. Control ling oscillations of a springmassdamper system is a well studied problem in engineering text books.
This can be especially true when the need arises to model a multibody system, which requires a considerable investment in methods for formulating and solving equations of motion. Lab 2a dynamic response of a massspring system with. Study the response of the mass spring system to various initial conditions using the matlab file springmassinit. Spring mass damper system as statespace model in matlab. Pdf simple harmonics motion experiment based on labview.
Refer to the prelab for the spring mass damper system equation of motion. Hello,im interested in the possibilities of simulating a mass spring dampener system as im currently working with one. The cantilever is made of spring steel and can be modeled as a linear spring, i. Modeling and experimental validation of a second order plant. Introduction to dynamic simulation national instruments. Mass spring damper systems the theory the unforced mass spring system the diagram shows a mass, m, suspended from a spring of natural length l and modulus of elasticity if the elastic limit of the spring is not exceeded and the mass hangs in equilibrium, the spring will extend by an amount, e, such that by hookes law the tension in the. See the configuration guide in appendix to configure the simulation parameters. The rectilinear control system consists of three mass carriages, three encoders, two dashpot dampers, a control box, and a mechanical actuator. An example of a system that is modeled using the basedexcited mass spring damper is a class of motion sensors sometimes called seismic sensors. Figure 3 represents a mass, m1, supported by a spring of stiffness, k1, and a damper having a viscous damping value, c1. The cd on the hanging mass is so that the detector can see the motion of the hanging mass. A typical example is the springmass damper system, where a spring connects a.
Use the labview control design and simulation module to solve ode. You can adjust the force acting in the mass, and the position response is plotted. How to simulate mass spring dampener system ni community. Step response block diagram of the springmass damper system.
This post shows a straightforward implementation of a mass spring damper system in statespace, and compares the labview implementation to a matlab simulation. Double massspringdamper in simulink and simscape matlab. Each mode shape has its own resonance frequency and responds to vibratory forces in a manner described by the same differential equations as are used to describe single mass, spring and damper vibration response. A mass spring damper is disturbed by a force that resonates at the natural frequency of the system. The voice coil armature is wound on an aluminum cylinder.
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