Nonlinear modeling of piezoelectric stack actuators with flexure based displacement amplifier mechanisms

Download

index.pdf

Date

2022-8-26

Author

Yurdakul, Ozan

Metadata

Show full item record

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Item Usage Stats

439
views

20
downloads

In this thesis, modeling methods for piezoelectric stack actuators (PSA) are studied. Both linear and nonlinear modeling methodologies are provided. FEM which is derived from constitutive piezoelectric equations is implemented to model linear behavior of piezoelectricity. Validation of the FEM model is performed through experiments. It is observed that modeling and test results are matched with high quality. Rhombus type amplifier mechanism (RTAM) is selected for this study after conducting a detailed literature survey about flexure-based displacement amplifier mechanisms (FDAMs). The amplifier mechanism is designed and optimized via FEM. After manufacturing the mechanism, it is also validated via tests. In addition, accuracy of both analytical and geometrical formulas in literature are compared. Although linear modeling is sufficient to design an actuator, the model should be made more accurate by adding nonlinearities for precise engineering applications. PSAs exhibits highly nonlinear behavior, and the major source of this nonlinearity is hysteresis. Bouc-Wen model is utilized to represent hysteretic behavior for this work. Modified Bouc-Wen models in the literature are compiled comprehensively. As these models only work well in limited voltage ranges with symmetrical hysteresis shapes, a new type modified model named as Multivalued Bouc-Wen model (MVB-W) is developed to increase matching performance in extended input voltage ranges up to 150 V. Moreover, creep, another cause of nonlinearity, is modeled, and its parameters are identified through testing. Since PSAs are generally utilized in an amplifier mechanism under prestress, effect of prestress on hysteresis and creep is also investigated.

Subject Keywords

Piezoelectric, FEM, Bouc-Wen model, Hysteresis, Nonlinear

URI

https://hdl.handle.net/11511/101125

Collections

Graduate School of Natural and Applied Sciences, Thesis

Suggestions

OpenMETU
Core

Vector Magnetic Characteristic Analysis of Induction Motor considering Effect of Harmonic Component due to Secondary Slot Enokizono, Masato; Kunihiro, Naoki (2011-09-10) This paper presents load characteristics of a three-phase induction motor model core calculated with the finite element method considering two-dimensional vector magnetic properties. Influence of harmonic components due to the secondary slot of the rotor core on the total iron loss is investigated. In this paper we propose a new iron loss calculation method to consider higher harmonic components.
Nonlinear Structural Coupling: Experimental Application Kalaycioglu, Taner; Özgüven, Hasan Nevzat (2014-02-06) In this work, the nonlinear structural modification/coupling technique proposed recently by the authors is applied to a test system in order to study the applicability of the method to real structures. The technique is based on calculating the frequency response functions of a modified system from those of the original system and the dynamic stiffness matrix of the nonlinear modifying part. The modification can also be in the form of coupling a nonlinear system to the original system. The test system used i...
Crack propagation in the Double Cantilever Beam using Peridynamic theory Yolum, Ugur; Bozkurt, Mirac Onur; Gok, Eda; Çöker, Demirkan; Gueler, Mehmet Ali (2022-12-01) In this study, Peridynamic (PD) theory is used to model mode-I delamination in unidirectional and multi-directional laminated composites. Experiments are conducted to determine mode-I fracture toughness in a unidirectional carbon-epoxy Double Cantilever Beam (DCB) specimen where the crack propagation remains on the original notch plane. The PD model of the DCB geometry is generated using an in-house pre-processor code in MATLAB and implemented in ABAQUS software. The brittle damage law in the original PD mo...
Nonlinear 3D Modeling and Vibration Analysis of Horizontal Drum Type Washing Machines Baykal, Cem; Ciğeroğlu, Ender; Yazıcıoğlu, Yiğit (2020-01-01) In this study, a nonlinear 3-D mathematical model for horizontal drum type washing machines is developed considering rotating unbalance type excitation. Nonlinear differential equations of motion are converted into a set of nonlinear algebraic equations by using Harmonic Balance Method (HBM). The resulting nonlinear algebraic equations are solved by using Newton’s method with arc-length continuation. Several case studies are performed in order to observe the effects of orientation angles of springs and damp...
Comparison of Linear and Nonlinear Modal Reduction Approaches Ferhatoğlu, Erhan; Dreher, Tobias; Ciğeroğlu, Ender; Krack, Malte; Özgüven, Hasan Nevzat (null; 2019-01-31) Periodic vibration response of nonlinear mechanical systems can be efficiently computed using Harmonic Balance Method. However, computational burden may still be considerable and impede extensive parametric studies needed for, e.g., design optimization and prediction of vibration response especially when the degree of freedom is very large. In this work, the methods which had been previously developed by the authors for further model order reduction to one or a few coordinates are compared. The focus is pla...

Citation Formats

O. Yurdakul, “Nonlinear modeling of piezoelectric stack actuators with flexure based displacement amplifier mechanisms,” M.S. - Master of Science, Middle East Technical University, 2022.