Universal form of the equations governing membrane deformation under hydrostatic pressure for simpler design of sensors and tunable optical devices

Andrey Nazarov, Ibrahim Abdulhalim

نتاج البحث: نشر في مجلةمقالةمراجعة النظراء

ملخص

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.

اللغة الأصليةإنجليزيّة أمريكيّة
الصفحات (من إلى)113-117
عدد الصفحات5
دوريةSensors and Actuators, A: Physical
مستوى الصوت257
المعرِّفات الرقمية للأشياء
حالة النشرنُشِر - 15 أبريل 2017

All Science Journal Classification (ASJC) codes

  • !!Electronic, Optical and Magnetic Materials
  • !!Instrumentation
  • !!Condensed Matter Physics
  • !!Surfaces, Coatings and Films
  • !!Metals and Alloys
  • !!Electrical and Electronic Engineering

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