A micro-accelerometer MDO benchmark problem

Many optimization and coordination methods for multidisciplinary design optimization (MDO) have beenproposed in the last three decades. Suitable MDO benchmark problems for testing and comparing these methodsare few however. This article presents a new MDO benchmark problem based on the design optimizationof an ADXL150 type lateral capacitive micro-accelerometer. The behavioral models describe structural anddynamic effects, as well as electrostatic and amplification circuit contributions. Relations for important performanceindicators are sensitivity, range, noise, and footprint area are derived. Geometric and functionalconstraints enforce proper functioning of the device. The developed models are analytical, and are thereforehighly suitable for benchmark and educational purposes. Four different problem partitions are suggested forsix design cases, each of which can be used for testing MDO coordination algorithms. As a reference, resultsfor a number of augmented Lagrangian coordination algorithms are given for these partitions.