Universal form of the equations governing membrane deformation under hydrostatic pressure for simpler design of sensors and tunable optical devices
| Autor: | Ibrahim Abdulhalim, Andrey Nazarov |
|---|---|
| Rok vydání: | 2017 |
| Předmět: |
Materials science
Hydrostatic pressure 02 engineering and technology Deformation (meteorology) 01 natural sciences law.invention 010309 optics Optics law 0103 physical sciences Focal length Electrical and Electronic Engineering Instrumentation Scaling business.industry Metals and Alloys Flexural rigidity Mechanics 021001 nanoscience & nanotechnology Condensed Matter Physics Pressure sensor Surfaces Coatings and Films Electronic Optical and Magnetic Materials Lens (optics) Membrane 0210 nano-technology business |
| Zdroj: | Sensors and Actuators A: Physical. 257:113-117 |
| ISSN: | 0924-4247 |
| DOI: | 10.1016/j.sna.2017.02.020 |
| Popis: | Flexible membranes have applications in liquid filled lenses and pressure sensors. They deform under hydrostatic pressure, thus changing the asphericity of the lens and its focal length. This behavior enables tuning of the lens by changing the pressure of the fluid inside. A universal form of the nonlinear differential equations describing the deformation of a flexible membrane is presented here, showing that their solution is valid for membranes having the same thickness to radius ratio and made of materials having the same flexural rigidity and Poisson ratios. Hence by solving the equations once, a simple scaling allows obtaining a set of solutions that matches these ratios. This should simplify the design of tunable lenses and pressure sensors based on flexible membranes. In addition, approximate analytic solutions are presented in a normalized form. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|
Full Text from ScienceDirect