Control-Oriented Modeling and Analysis of a Flexible Beam Carrying a Moving Mass

2019 ◽  
Author(s):  
Jawad Ismail ◽  
Steven Liu
Keyword(s):  
Flexible Beam ◽  
Moving Mass ◽  
Modeling And Analysis

Dynamics of an orbiting flexible beam with a moving mass

AIAA Journal ◽  
2001 ◽  
Vol 39 ◽  
pp. 2225-2227
Author(s):  
D. C. D. Oguamanam ◽  
J. S. Hansen ◽  
G. R. Heppler
Keyword(s):  
Flexible Beam ◽  
Moving Mass

Effective Placement of a Cantilever Resonator on Flexible Primary Structure for Vibration Control Applications—Part 1: Mathematical Modeling and Analysis

2018 ◽  
Vol 140 (5) ◽  
Author(s):  
Troy Lundstrom ◽  
Nader Jalili
Keyword(s):  
Strain Energy ◽  
Vibration Suppression ◽  
Secondary Beam ◽  
Flexible Beam ◽  
Total System ◽  
Beam Position ◽  
Modeling And Analysis ◽  
Sensor Actuator ◽  
Unit Impulse ◽  
Flexible Beam System

In this Part 1 of a two-part series, the theoretical modeling and optimization are presented. More specifically, the effect of attachment location on the dynamics of a flexible beam system is studied using a theoretical model. Typically, passive/active resonators for vibration suppression of flexible systems are uniaxial and can only affect structure response in the direction of the applied force. The application of piezoelectric bender actuators as active resonators may prove to be advantageous over typical, uniaxial actuators as they can dynamically apply both a localized moment and translational force to the base structure attachment point. Assuming unit impulse force disturbance, potential actuator/sensor performance for the secondary beam can be quantified by looking at fractional root-mean-square (RMS) strain energy in the actuator relative to the total system, and normalized RMS strain energy in the actuator over a frequency band of interest with respect to both disturbance force and actuator beam mount locations. Similarly, by energizing the actuator beam piezoelectric surface with a unit impulse, one can observe RMS base beam tip velocity as a function of actuator beam position. Through such analyses, one can balance both sensor/actuator performance and make conclusions about optimally mounting the actuator beam sensor/actuator. Accounting for both sensing and actuation requirements, the actuator beam should be mounted in the following nondimensionalized region: 0.4≤e≤0.5.

On the dynamic behaviour of a flexible beam carrying a moving mass

1994 ◽  
Vol 5 (4) ◽  
pp. 493-513 ◽  
Author(s):  
F. Khalily ◽  
M. F. Golnaraghi ◽  
G. R. Heppler
Keyword(s):  
Dynamic Behaviour ◽  
Flexible Beam ◽  
Moving Mass

Modeling and Analysis of a Piezoelectric Energy Scavenger for Rotary Motion Applications

2010 ◽  
Vol 133 (1) ◽  
Author(s):  
F. Khameneifar ◽  
M. Moallem ◽  
S. Arzanpour
Keyword(s):  
Energy Harvester ◽  
Equations Of Motion ◽  
Quantitative Description ◽  
Load Resistance ◽  
Rotary Motion ◽  
Flexible Beam ◽  
Modeling And Analysis ◽  
Piezoelectric Energy ◽  
Tip Mass ◽  
Energy Scavenger

This paper presents modeling and analysis of a piezoelectric mounted rotary flexible beam that can be used as an energy scavenger for rotary motion applications. The energy harvester system consists of a piezoelectric bimorph cantilever beam with a tip mass mounted on a rotating hub. Assuming Euler–Bernoulli beam equations and considering the effect of a piezoelectric transducer, equations of motion are derived using the Lagrangian approach followed by relationships describing the harvested power. The equations provide a quantitative description of how the hub acceleration and gravity due to the tip mass contribute power to the energy harvester. In particular, expressions describing optimum load resistance and the maximum power that can be harvested using the proposed system are derived. Numerical simulations are performed to show the performance of the harvester by obtaining tip velocities and electrical output voltages for a range of electrical load resistances and rotational speeds. It is shown that by proper sizing and parameter selection, the proposed system can supply enough energy for operating wireless sensors in rotating mechanisms such as tires and turbines.

scholarly journals Dynamics of a Flexible Beam Supported Elastically with Moving Mass Spring System.

2002 ◽  
Vol 68 (673) ◽  
pp. 2570-2576 ◽  
Author(s):  
Yoshiaki TERUMICHI ◽  
Yoshihiro SUDA ◽  
Satoshi IKUTA ◽  
Shinichi OHNO
Keyword(s):  
Flexible Beam ◽  
Moving Mass ◽  
Spring System ◽  
Mass Spring

Dynamics of an Orbiting Flexible Beam with a Moving Mass

AIAA Journal ◽  
2001 ◽  
Vol 39 (11) ◽  
pp. 2225-2227 ◽  
Author(s):  
D. C. D. Oguamanam ◽  
J. S. Hansen ◽  
G. R. Heppler
Keyword(s):  
Flexible Beam ◽  
Moving Mass

Dynamics and Control of an Elastic Guideway Under a Moving Mass

2001 ◽  
Author(s):  
Hanno Reckmann ◽  
Karl Popp
Keyword(s):  
Adaptive Control ◽  
Control Strategy ◽  
Control Strategies ◽  
Moving Load ◽  
Active Vibration Control ◽  
Elastic Beam ◽  
Flexible Beam ◽  
Moving Mass ◽  
System Matrix ◽  
Optimal Control Strategy

Abstract Lightweight structures under moving loads occur in robotics, ground transportation and in space stations. Increasing velocities lead to an excitation of structural vibrations with high amplitudes. This phenomenon may affect the precision of machine tools and robots and the safety of transport operations. An example of such a lightweight structure is a flexible beam under a moving load. In this paper we investigate the possibility of active vibration control of the elastic beam using a king post truss system (KPTS). The system is excited by both a mass moving with constant velocity and a mass performing an accelerated motion. The aims are to minimize the vibrations of the system and the transverse deflections under the moving mass. The system to be analysed and controlled is time variant due to the moving mass. The fast motion of the mass leads to a highly dynamic system with a fast changing system matrix. We use control inputs at fixed positions for control of the system with distributed parameters. The system is modelled by a finite element approach to implement the moving mass in the system description. To reduce the numerical complexity of the system a modal transformation is applied and numerical investigations of the system are performed. We apply two different control strategies to reach the aims. The first one is an optimal discrete time approach which allows to reach both aims. The second one is an adaptive control strategy with a simple model to minimize the deflection under the moving mass. The numerical results are compared with experimental data. In the case of a constant mass velocity the optimal control strategy leads to a reduction of the deflection under the moving mass of more than 98% compared to the uncontrolled system. The reduction of the deflection under the moving mass applying adaptive control results in a smaller reduction of about 96%.

Sign in / Sign up

Export Citation Format

Share Document