Initialize variables for a massspringdamper system matlab. Robust tuning with the control system tuner app video. The value of the gain will be either m or 1m depending on how you set things up. To calculate the vibration frequency and timebehavior of an unforced spring mass damper system, enter the following values.
In the field of mechanical engineering, it is routine to model a physical dynamic system as a set of differential equations that will later be simulated using a computer. Matlab robust tuning of massspringdamper system beelab. The massspringdamper depicted in figure 1 is modeled by the secondorder differential equation. These models may be derived either from physical laws or experimental data. Another approach to model the dynamic behavior of tld is to replace the tld by its equivalent tuned mass damper tmd and find the effective tmd properties such as stiffness, damping ratio, and mass. Sap2000, finite element analysis software, is used to investigate the vibration control performance of stockbridge damper. Estimate model parameters and initial states gui matlab. Structural control, vibration, tuned mass damper, seismic behavior, harmony search, optimization. The vibration of system with and without the tuned massspringdamper is viewed as a frequency response, timedomain simulation and power spectrum. Finally, the damper is just a gain without an integrator, with the value of the gain. This system will be modeled by summing the forces acting on both masses body and suspension and integrating the accelerations of each mass twice to give velocities and positions. This application calculates the optimum spring and damping constant of a parasitic tuned mass damper that the minimizes the vibration of the system. Before heading toward the simulation, first we will make a ground for our understanding of some technical term associated with it. Estimating double tuned mass dampers for structures under.
With their proven effectiveness and increased feasibility, due to improvements in technology, tuned mass dampers are becoming increasingly popular. A tuned mass damper tmd, also known as a harmonic absorber or seismic damper, is a device mounted in structures to reduce the amplitude of mechanical vibrations. Furthermore, the effect is based on the 90 degrees phase lag you see during resonance. Web development data science mobile apps programming languages game development databases software testing software engineering development tools ecommerce. A tunedmass damper tmd, also known as a pendulum damper, is not really a damper, but rather a pendulum or another gravitybased oscillator which is attached to the structure in such a way that it counteracts the vibration of one or more fundamental modes, thereby reducing the wind andor seismic response of those modes. How can i make a optimization code in matlab for tuned. This device is the oldest known version of tuned mass damper tmd, but it consist of stiffness members and mass without inherent damping. The model is a classical unforced mass spring damper system, with the oscillations of the mass caused by the initial deformation of the spring. In this figure, m is the structure to which the damper would be attached.
First, we will model the integrals of the accelerations of the masses. This tutorial illustrates the essential steps to building a physical model and makes you familiar with using the basic simscape blocks. Optimization and estimation routine for tuned mass damper. They are frequently used in power transmission, automobiles, and buildings. It is because of this effect that we advise changing the internal dampers at set intervals of 15 to 25 years, depending on the damper used. The increase in amplitude from mis tuned internal damping can be significant. May 24, 2019 this video shows the steps to create a model in simulink for two spring mass damper system. A discussion on the validity of the model used by bekdas and nigdeli is also presented in detail. Optimum design of tuned mass dampers using multiobjective cuckoo search for. How can i make a optimization code in matlab for tuned mass damper. The code is given in a separated file with the following link.
Our ongoing research into maintenance free tuned mass dampers has solved this issue for linear tuned mass dampers. Sep 28, 2017 hi everybody welcome to power engineering portal. Likewise, you can model each spring the same way, except the value of the gain will be either k or 1k depending on your choice of input and output. Explore concepts of tuned mass dampers in your lab. Tuning of parameters for pid controller is done using signal constraint block in matlab simulink. Simulink model of mass spring damper system the mass spring damper depicted in figure 1 is modeled by the secondorder differential equation. Semiactive tuned mass damper for seismic applications. To answer this question, use the block substitution feature of sltuner to create an uncertain closedloop model of the mass spring damper system. How to model a simple springmassdamper dynamic system in. In this example, you are going to model a simple mechanical system and observe its behavior under various conditions. This example shows a controlled mass spring damper. Simulink tutorial introduction this document is designed to act as a tutorial for an individual who has had no prior experience with simulink. Solving problems in dynamics and vibrations using matlab parasuram harihara and dara w.
Tuned mass damper tmd is one of the oldest passive devices, and it has been very much. How to design two mass damper spring system in simulink. Robust controller tuning or robust controller synthesis for a system modeled in simulink requires linearizing the model such that the software takes parameter uncertainty into account. The simulation results confirm that the mocs is able to present a solution. You can tune controllers to accommodate uncertainty in physical parameters. Tuned mass damper design for attenuating vibration maple. Experimental investigations of tuned liquid damper. Their application can prevent discomfort, damage, or outright structural failure. Jan 14, 2019 this code has been generated to simulate a single degree of freedom spring mass damper system. Simulink model for mass spring damper system is designed within matlabsimulink. In this study, the vibration control of floating wind turbines fwts and the influence of the tuned mass damper tmd location on the displacements and loads of key parts of an fwt are investigated. Simulink model of mass spring damper system the mass spring damper depicted in figure 1 is modeled by the secondorder differential equation where is the force applied to the mass and is the horizontal position of the mass. Impress future or current employers with your marketable skills in matlab simulink.
The simscape model uses physical connections, which permit a bidirectional flow of energy between components. Simulation of the owt tlcgd in the simulink simulink is a simulation tool equipped with matlab software. A mass spring damper is disturbed by a force that resonates at the natural frequency of the system. Fastsc can model two independent tmds with a userdefined mass, spring stiffness, damping, and translation direction. Under the seismic or wind loads, the pendulum naturally sways against the buildings motion and effectively reduces its displacement. The idea is to use a mass spring system with a mass of about 10% of the active mass of the object you want to dampen. In the example featured in this video, the plant is a mass spring damper system. This example shows two models of a massspringdamper, one using simulink inputoutput blocks and one using simscape physical networks. How to model a simple spring mass damper dynamic system in matlab. Intro to structural motion control purdue engineering. Tuned mass dampers tmd are passive control devices that are usually installed at the roof of buildings to control response of structure produced due to wind or an earthquake. This example shows two models of a double massspringdamper, one using simulink inputoutput blocks and one using simscape physical networks. Read and learn for free about the following scratchpad. Design spring mass damping system in simulink part 1.
Jan 16, 2019 explore translational tuned mass damper in the lab. For audience interested in single spring mass damper system, please refer to the below link. The models output is the displacement response position of the mass in a massspringdamper system, subject to a constant force f, and an initial displacement x0. The default calculation is for an undamped spring mass system, initially at rest but stretched 1 cm from its neutral position. The first step in the control design process is to develop appropriate mathematical models of the system to be controlled. In this section, we introduce the statespace and transfer function representations of dynamic systems. Automatically tune controllers to maximize performance over a range of parameter values using the control system tuner app from robust control toolbox. Tunedmass damper tutorials computers and structures. Simulation of a spring mass damper system by matlab youtube. Simulink model for mass spring damper system is designed within matlab simulink. The robust control toolbox tuning tools, systune and control system tuner, allow you to tune control systems for robustness against plant variation. Step 3 damped spring mass system if youre seeing this message, it means were having trouble loading external resources on our website.
Tuned mass damper consists of a mass, a spring and a damper anchored or attached to the main structure. Using simulink to mode a massspringdamper system questions. For the computer simulation part, the team used a sophisticated dynamic model of a building, implemented in matlabsimulink software. Discover how matlab supports a computational thinking approach using the classic springmassdamper system. A mass spring damper system the following section contains an example for building a mass spring damper system. A controller adjusts the force on the mass to have its position track a command signal. Tuned mass dampers have been implemented in a number of different structures all across the world. Please feel free to refer to any and all of these publications. But how robust is it to variations of robustness analysis. Mass spring damper system matlab analysis hi everyone im not very good at this particular subject so im sorry if i say something stupid which i probably will. Magnetorheological mr damper using simulink software.
This video describes the use of simulink to simulate the dynamic equations of a springmassdamper system. You can represent each mass as a series combination of an integrator and a gain. The initial velocity for the mass is 10 meters per second. First, a complete wind turbine model is built and the drivetrain model is validated. The double tuned mass dampers dtmd, consisting of one larger mass block i. Pdf simulink and simelectronics based position control of a. A tuned mass damper tmd consists of a mass m, a spring k, and a damping device c, which dissipates the energy created by the motion of the mass usually in a form of heat. Doing so requires block substitution simulink control design for linearization, to replace the value of blocks that have parameter uncertainty with uncertain parameters or systems. If youre behind a web filter, please make sure that the domains.
Exploring translational tuned mass dampers in a lab quanser. Vary the mass to 100, 200 and 300 for different operation conditions. By moving the mass along the pendulum shaft, it is possible to tune the damper to the resonant frequency of the structure where the building will sway the most. The simulink model uses signal connections, which define how data flows from one block to another. A pendulum tuned mass damper consists of a mass suspended on a pendulum. This video shows the steps to create a model in simulink for two spring mass damper system. Passive structural vibration control with tuned mass.
Robust optimum design of multiple tuned mass dampers for. Robust tuning approaches robust tuning and multimodel tuning. Two mass damper spring system in simulink matlab answers. Simulink modeling of a springmassdamper system youtube. Furthermore, in all earthquakes, the maximum displacement of tuned mass dampers and force exerted by tuned mass dampers on the structure for the offered objective function are considerably less. It is assumed that the reader has already read through the beginner and intermediate matlab tutorials.
Model uncertainty in simulink for robust tuning matlab. Tuning for multiple values of plant parameters matlab. Double massspringdamper in simulink and simscape matlab. Today we are going to simulate classical mass spring damper system before heading toward the simulation, first we will make a ground for our understanding of some technical term associated with it. Optimum design of tuned mass dampers using multiobjective. Now, try to tune the controller for multiple parameter values.
To set the priority and initial target values for the block variables prior to simulation, use the variables tab in the block dialog box or the variables section in the block property inspector. This example shows how to robustly tune a pid controller for an uncertain mass spring damper system modeled in simulink. Tuned mass damper components, working and applications. The nominal response meets the response time requirement and looks good. The objective of this paper is to design and comparatively analyze the p, pi, pd, and pid logic controller for mass spring damper system. Multimass, damper, spring system in matlab matlab answers. The scope of state phase variable block representation with simulink standard was used to obtain a plot of the step response of the state space representation of the system while the simout block helped in writing the vector sample of the output values and the time response. The default value for car chassis of mass is 300 kg. Use the generated code in applications such as simulation acceleration, rapid prototyping, and hardwareintheloop hil simulations.
Today we are going to simulate classical mass spring damper system. This example shows how you can use block variable initialization, and how it affects the simulation results of a simple mechanical system. Experimental investigations of tuned liquid damperstructure. Application of soft computing in the design and optimization.
This example shows how to robustly tune a pid controller for an uncertain mass springdamper system modeled in simulink. Steel springs are best, as you dont want damping in your damper. Tuning of parameters for pid controller is done using signal constraint block in matlabsimulink. Simulation of massspring damper system in matlab power. Optimum tuned mass dampers for structures with different. Designing optimal tuned mass dampers using improved harmony. These goals are generally at odds, so the tuning of suspensions involves finding the right compromise. Passive structural vibration control with tuned mass dampers. Matlab robust tuning of mass spring damper system matlab 7. Comparative analysis of p, pi, pd, pid controller for mass.
The tuned mass damper concepts are typically covered in the structural dynamics and earthquake engineering programs curricula. To demonstrate these concepts and explore them further, many institutions around the world use quanser active mass damper systems. The frequency of the damper is tuned to a particular structural frequency so. Creating and simulating a simple model building a simscape diagram. A general code is written in matlab software 30 to carry out the time history. When a sudden small movement of tool holder starts without mass, the rubber will be compressed and push the mass to vibrate in same. En existed tuned mass damper is consist by a pair of rubber bush, damper mass, it suspended on carbide sleeve inside of tool shank, see figure 2.
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