Specific features in pressure microsensors design.
Lache, Simona ; Luculescu, Marius
1. INTRODUCTION
Microsystems domain, known in the literature also as MEMS (Micro-Electro-Mechanical Systems) has been internationally acknowledged
only two decades ago, even if it is based on preoccupation regarding
sensors and actuators miniaturization that has been started more then
forty years ago. As a result of the rapid progress microelectronics has
lately achieved, the domain has been developed, nowadays it finds
several applications in many fields: medicine, biology, chemistry,
automotive industry. This work focuses on pressure microsensors, as
component part of MEMS. In their design two main features are taken into
consideration: the maximum nondestructive pressure and the sensitivity
(Bistue et al., 1997). Works have been carried on calculation and
prediction of sensitivity, which is now possible by a set of simple
equations (Shih-Chin & Chengkuo, 2001).
Since they have specific features (dimensions in the millimetre
range and below, forces other then gravity dominate due to the scaling
effects, new materials involved--with different mechanical
characteristics) the whole design and manufacturing process differs from
the one we are acquainted with from the macro-world. There are specific
design techniques and micro-fabrication methods developed in order to
realize microsystems able to respond to complex functions (mechanical,
electronic and control functions).
2. SPECIFIC FEATURES AND DESIGN LEVELS
Microsystems (MEMS) design requires some different description and
detail levels: in the first place, the documentation regarding the
microsystem specific features and needs has to be achieved, together
with the assessment of different micro-fabrication possibilities
(Fatikow & Rembold, 1999). If the designed device will become a
commercial product, the calculation of the fabrication cost is needed,
as well. Secondly, the following steps have to be performed for each
proposed version of the designed device: the system division in
components, materials choice, operations sequence setting-up for each
component, assembly methods set-up and product compact packaging.
It is emphasize that, due to the prototypes high cost, the
analytical model development--for simulations--is strongly recommended.
Thus the research and development cost is significantly reduced.
Microsystems modelling and analysis is a very complex issue. Modelling
is present at different levels and uses a large variety of formulations,
depending on the level.
[FIGURE 1 OMITTED]
Four design levels are identified (Poppinger, 1991): system level,
device or component level, physical level and process level. Among these
levels there is a bilateral information exchange.
3. CONSIDERATIONS REGARDING THE PRESSURE SENSOR DESIGN
The operating principle of a pressure sensor is simple and well
known. It consists of a silicon membrane developed on a substrate (Fig.
2) by bulk micromachining and using the selective chemical etching
techniques (Gardner et al., 2001).
When a pressure is applied, the membrane curves, the curvature
measured being proportional to the pressure value. Fig. 2 also presents
the scheme of a resistive pressure sensor, having the piezo-resistors
integrated into the membrane; they change their resistance proportional
to the applied pressure. The resistance change, measured with a
Wheatstone bridge, shows how much the membrane has been curvetted.
The design procedure, based on the literature [3], is described in
Fig. 3. The desired sensor properties are recorded inside the design
specifications. The mechanical structure is then set up, considering the
limitations of the manufacturing process. The geometrical model is
developed which represents, together with the material properties, the
solid model for finite element analysis. The analysis results in stress
distribution along the membrane due to different pressure loads. These
results would allow the precise positioning of piezo-resistors on the
pressure sensor. Thus it yields the optimal geometry for the maximum
sensor sensitivity. Further, the finite element analysis results are
used for manufacturing process optimisation and for determining the
electronic components best placement on the substrate (considering
integrated MEMS is developed). The analysis is performed both in static
and dynamic regime, the later being useful for resonance frequencies
calculation and components behaviour investigation at different
frequencies.
[FIGURE 2 OMITTED]
[FIGURE 3 OMITTED]
Whatever the design analysis is performed, one has to bear in mind
that the dimensional reduction determines a considerable change in the
requirements regarding the material properties, together with an
increase of the surface forces with respect to the volume forces. This
leads to increased friction and wear. Unlike the macro-systems, where
the inertial effects are prevalent, for structures with dimensions of
millimetres or below the surface phenomena change their dynamic
behaviour. In this sense, many problems may occur due to the Van der
Waals forces, the structure mechanical strength, the surface state and
the micro-friction elements.
4. ANALYSIS AND RESULTS
The finite element model consists of the free part of the membrane,
subjected to the pressure. The main feature taken into consideration is
the maximum non-destructive pressure, which is related to the following
design variables: dimensions of the membrane and mechanical properties
of the selected material. The microstructure has the following
dimensions: 7.5 mm (length) x 5 mm (width) x 0.1 mm (height); the active
part of the membrane is along the length of 2.5 mm. The material
properties for silicon, necessary for modelling, are: Young modulus,
Poisson ratio and density. The structure is modelled with volumes and
discretized in solid finite elements. The constraints are considered
along the two lateral areas that simulate the parts of the membrane
fixed on the substrate. The analysis is performed for a pressure range
from 2kPa to 40Mpa. Von Misses stress and strain distributions have been
calculated (Fig. 4).
[FIGURE 4 OMITTED]
5. CONCLUSION
Pressure microsensors play an important role in microsystem
technology, related to several advantages such as being cheep, having
good resolution, precision, linearity and stability. In order to obtain
reliable products, able to be integrated with electronic and signal
processing components on a single chip, it is important to pay attention
to the design of micromechanical part. The paper describes the overall
design procedure and discusses the results obtained by performing finite
element analysis and simulation of the sensor membrane. These results
would allow the precise positioning of piezo-resistors on the pressure
sensor. Thus it yields the optimal geometry for the maximum sensor
sensitivity. Further, the finite element analysis results are used for
manufacturing process optimisation and for determining the electronic
components best placement on the substrate.
6. ACKNOWLEDGMENT
This work was supported by the Romanian National Council for
Scientific Research from Higher Education, within the framework of a
research project (financial support acknowledgment goes here).
7. REFERENCES
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Poppinger, M. (1991). Entwurf piezoresistiver Drucksensoren,
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Shih-Chin G.; Chengkuo L. (2001). Analytical solutions of
sensitivity for pressure microsensors, Sensors Journal IEEE, vol. 1, no.
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