| Foreword | p. ix |
| Contributors | p. xi |
| Preface | p. xiii |
| Introduction | p. 1 |
| Design of Microelectromechanical Systems | p. 1 |
| Synthesis vs. Analysis | p. 3 |
| An example: mode shape synthesis of a bar | p. 4 |
| Optimization as a synthesis tool | p. 5 |
| Components of an optimal synthesis procedure | p. 8 |
| Contents of the chapters | p. 9 |
| Closure | p. 11 |
| Synthesis for Mechanical Behavior | p. 13 |
| Introduction | p. 13 |
| Synthesis of beam-like structures | p. 15 |
| Topology Synthesis | p. 16 |
| Flexibility-stiffness formulation | p. 18 |
| An accelerometer with a built-in displacement amplifier | p. 20 |
| A micromechanical AND logic gate | p. 21 |
| Synthesized solutions as design aids | p. 25 |
| Flexibility-strength formulation | p. 25 |
| Modeling stress constraints | p. 26 |
| Sensitivity analysis for stress constraints | p. 27 |
| An example | p. 31 |
| Synthesis for dynamic attributes | p. 31 |
| Synthesis for desired natural frequencies | p. 31 |
| Synthesis for desired normal mode shapes | p. 32 |
| Mode shape synthesis for beams | p. 21 |
| Conclusions | p. 37 |
| Synthesis of Electrostatically Actuated Mems | p. 43 |
| Introduction | p. 43 |
| Governing Equations | p. 48 |
| Shape Synthesis of Electrostatically Driven Actuators | p. 49 |
| Simulation of the driving force | p. 50 |
| Sensitivity analysis | p. 52 |
| Optimization | p. 54 |
| An Example: Variable Comb-drive Actuators | p. 55 |
| 2-D Designs | p. 55 |
| Driving force | p. 56 |
| Sensitivity analysis | p. 57 |
| The inverse problem | p. 59 |
| 3-D Design | p. 64 |
| Driving force | p. 65 |
| Sensitivity analysis | p. 66 |
| The inverse problem | p. 67 |
| Fabrication of a shaped motor - a demonstration | p. 70 |
| SCREAM I process | p. 72 |
| Test results | p. 75 |
| Closure | p. 76 |
| Synthesis Methods for Electrothermal Actuation | p. 79 |
| Introduction | p. 79 |
| Generalization of the BasiC electro-thermal actuator | p. 81 |
| Changing dimensions | p. 82 |
| Changing material properties | p. 82 |
| Changing thermal boundary conditions | p. 83 |
| Changing electrical boundary conditions | p. 83 |
| Electro-thermal-compliant designs | p. 85 |
| Modeling | p. 86 |
| Electrical analysis | p. 88 |
| Thermal analysis | p. 88 |
| Elastic analysis | p. 89 |
| Synthesis | p. 90 |
| Design parameterization | p. 91 |
| Problem statement | p. 93 |
| Solution procedure | p. 93 |
| Numerical examples | p. 95 |
| Alternative implementation using "line elements" | p. 102 |
| Line elements | p. 102 |
| Finite element modeling with line elements | p. 103 |
| Problem formulation | p. 105 |
| Sensitivity analysis and solution procedure | p. 106 |
| Numerical examples with line elements | p. 109 |
| Advanced example | p. 110 |
| MicroFabrication | p. 112 |
| PennSOIL | p. 113 |
| Excimer laser micromachining | p. 114 |
| Electro-plating combined with photolithography | p. 115 |
| Closure | p. 117 |
| Synthesis with Piezoelectric Actuation | p. 121 |
| Introduction | p. 121 |
| Background Theory for Piezoelectricity | p. 124 |
| FEM Applied to Piezoelectricity | p. 129 |
| Flextensional Actuator Design | p. 131 |
| Mean Transduction | p. 133 |
| Material Model | p. 136 |
| Formulation of Optimization Problem | p. 138 |
| Sensitivity Analysis | p. 141 |
| Examples | p. 142 |
| A Multilayer Actuator | p. 143 |
| A Flextensional Gripper | p. 145 |
| Manufactured Prototypes | p. 148 |
| Conclusion | p. 149 |
| Synthesis of Piezocomposites | p. 155 |
| Piezocomposite Design | p. 155 |
| Performance Characteristics of Piezocomposite Materials | p. 157 |
| Low-Frequency Applications | p. 158 |
| High-Frequency Applications | p. 160 |
| Homogenization Method | p. 160 |
| Piezocomposite Design Problem | p. 170 |
| Formulation of Optimization Problem | p. 173 |
| Examples | p. 177 |
| Piezocomposite Manufacturing | p. 182 |
| Microfabrication by Coextrusion Technique | p. 183 |
| Stereolithography Technique | p. 185 |
| Experimental Results | p. 186 |
| Conclusions | p. 188 |
| Synthesis of Periodic Micro Mechanisms | p. 193 |
| Introduction | p. 193 |
| Numerical homogenization, FE modeling, and sensitivity analysis | p. 197 |
| Formulation of the problem | p. 200 |
| Numerical implementation | p. 201 |
| Examples | p. 202 |
| Shearing materials | p. 202 |
| Negative Poisson's ratio matrials | p. 203 |
| Extremal thermal expansion coefficient | p. 203 |
| Piezoelectric transducers | p. 208 |
| Wave propagation | p. 208 |
| Modeling of wave propagation | p. 210 |
| Concluding remarks | p. 216 |
| Process Synthesis | p. 223 |
| Introduction | p. 223 |
| State-space representation | p. 225 |
| Planar device representation | p. 227 |
| Basic synthesis method | p. 230 |
| Cardinality of design space | p. 231 |
| Granularity control through condensation | p. 234 |
| Other miscellaneous graph-theoretical results | p. 236 |
| Process flow construction | p. 237 |
| Determination of selective operators | p. 242 |
| Process flow parameters | p. 244 |
| Software implementation | p. 252 |
| Compiler testing | p. 254 |
| Summary | p. 260 |
| Mask Synthesis | p. 267 |
| Introduction | p. 267 |
| Terminology | p. 269 |
| Related work | p. 270 |
| Mask synthesis for bulk micromachining | p. 271 |
| Mask synthesis for surface micromachining | p. 271 |
| Mathematical framework | p. 272 |
| Synthesis | p. 280 |
| Deposits | p. 281 |
| Etches | p. 281 |
| Doping | p. 281 |
| Generating potential mask openings | p. 284 |
| Subdivision of mask openings | p. 285 |
| Validating Mask Openings | p. 286 |
| Examples | p. 290 |
| Conclusions | p. 292 |
| System-Level Synthesis | p. 297 |
| MEMS Design representations | p. 297 |
| Synthesis Methodology | p. 300 |
| Design Variables | p. 300 |
| Constraints | p. 302 |
| Geometric Constraints | p. 302 |
| Functional Constraints | p. 304 |
| Synthesis Formulation | p. 306 |
| Layout Generation | p. 308 |
| Performance Models | p. 308 |
| Synthesis Results | p. 311 |
| Synthesis with In-plane Mode Separation Constraints | p. 311 |
| Synthesis with Out-of-plane Mode Separation Constraints | p. 312 |
| Summary | p. 313 |
| Index | p. 317 |
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