Coupled MEMS Resonator Arrays Using Collective-Mode Beam Segmentation
Find Innovative SolutionsGenerate Solutions
Solution Overview
Problem
Microelectromechanical (MEMS) resonators face challenges in achieving low electromechanical resistance (ESR) and temperature insensitivity while maintaining a high quality factor and small footprint, particularly in piezoelectrically actuated beam resonators.
Innovation Solution
The solution involves coupling multiple beam-shaped sub-elements using connection elements at non-nodal points to resonate in a collective mode, allowing for increased width and reduced ESR, while maintaining temperature compensation and flexibility in resonator geometry.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Reliability
If the beam width is increased to reduce ESR, then electromechanical resistance decreases, but the aspect ratio constraint limits further width increase
Solution Approach 1:
The resonator beam is divided into multiple sub-elements (first sub-element, second sub-element, third sub-element) connected by connection elements. This segmentation allows the overall structure to achieve a larger effective width for lower ESR while each individual sub-element can maintain the required aspect ratio for proper mode existence.
Solution Approach 2:
Multiple sub-elements are combined through connection elements to form a collective resonating structure. The sub-elements work together as a unified system, achieving the desired low ESR performance of a wide beam while maintaining the structural integrity and mode requirements through their individual aspect ratios.
2Reliability
If the beam is made wider to achieve lower ESR, then electromechanical resistance decreases, but the resonator footprint increases
Solution Approach 1:
By segmenting the beam into multiple narrower sub-elements connected by connection elements, the design achieves an effective large width for low ESR without requiring a proportionally large footprint, as the sub-elements are arranged in a configuration that optimizes space utilization.
Solution Approach 2:
The connection elements extend in the width direction, allowing the sub-elements to be coupled effectively across a larger width while maintaining a compact footprint in the length direction, thus achieving low ESR without excessive footprint increase.
3Adaptability or versatility
If piezoelectric materials are added for actuation, then resonator functionality is improved, but temperature dependency increases
Solution Approach 1:
Different regions of the resonator structure are assigned different properties: sub-elements are designed with specific aspect ratios and orientations for temperature compensation, while connection elements are positioned to provide mechanical coupling without significantly affecting the temperature characteristics. This local differentiation allows simultaneous optimization of actuation and temperature stability.
Solution Approach 2:
The resonator employs a composite structure combining sub-elements made from temperature-compensated materials (such as silicon with specific crystal orientations and doping) with piezoelectric materials for actuation. This composite approach allows the temperature-stable sub-elements to counteract the temperature dependency introduced by the piezoelectric materials.
4Reliability
If multiple sub-elements are coupled using connection elements, then ESR is reduced and geometry flexibility is improved, but device complexity increases
Solution Approach 1:
The beam is segmented into multiple sub-elements that can be fabricated using standard MEMS processes, allowing modular assembly and reducing overall complexity compared to fabricating a single large complex structure. Each sub-element maintains a simple geometry suitable for conventional manufacturing.
Solution Approach 2:
The connection elements serve multiple functions: they mechanically couple the sub-elements together, transmit vibrational energy between sub-elements, and provide structural support. This multi-functionality reduces the need for additional specialized components, thereby limiting the increase in device complexity.
Applied Scientific Principles
This section explains which scientific principles are used to turn an abstract innovation direction into a practical engineering solution.
Function Achieved in This Case
This approach effectively decreases ESR, reduces temperature dependency, and allows for high-quality factor resonators with optimized footprint, enabling improved performance in piezoelectric actuation and temperature compensation.
Implementation Method 1
an actuator for exciting the resonator element to a resonance mode
Implementation Method 2
The sub-elements are adapted to resonate in a length-extensional, torsional or flexural resonance mode
Data Source
AI summary
A microelectromechanical resonator assembly includes a first rectangular resonator array and a second rectangular resonator array, where the first rectangular resonator array and the second rectangular resonator array each have at least two rectangular resonator sub-elements, and the at least two rectangular resonator sub-elements are coupled to each other by one or more connection elements, and the first rectangular resonator array and the second rectangular resonator array are coupled to each other by one or more connection elements.