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Extended and Generic Higher-Order Elements for MEMS Modeling.

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This study introduces generalized Higher-Order Elements (HOEs) beyond memristors, enabling more comprehensive modeling of complex Micro-Electro-Mechanical Systems (MEMS) phenomena.

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Area of Science:

  • Electrical Engineering
  • Materials Science
  • Physics

Background:

  • State-dependent R, L, C elements are crucial for smart engineering solutions like MEMS.
  • Current models often use generic memristors (MR), memcapacitors (MC), and meminductors (ML).
  • Existing models are insufficient for complex MEMS phenomena, necessitating advanced elements.

Purpose of the Study:

  • To introduce generic and extended Higher-Order Elements (HOEs) beyond MR, MC, and ML.
  • To formulate generalized circuit theorems for these new HOEs.
  • To demonstrate their application in modeling complex MEMS processes.

Main Methods:

  • Development of generalized HOE models.
  • Formulation of extended circuit theorems.
  • Application of models to simulate diverse physical phenomena in MEMS.

Main Results:

  • Introduction of extended HOEs, overcoming limitations of classical and existing mem-elements.
  • Development of generalized circuit theorems applicable to these extended HOEs.
  • Successful application of the new models to represent complex MEMS behaviors.

Conclusions:

  • Generalized HOEs provide a more powerful framework for modeling complex systems.
  • The introduced theorems and models enhance the design and analysis of MEMS.
  • This work expands the toolkit for simulating diverse physical phenomena in micro- and nano-scale devices.