|
|
| Figure
1. The transmissibility of a passive negative-stiffness
isolator-that is, the vibration that transmits through
the isolator measured as a function of the input vibrations-can
be 10-100 times better than that of a high-performance
air table. |
Laser-based
interferometers represent another kind of extremely sensitive
device that is capable of resolving nanometer-scale motions
and features. The sophisticated modern ellipsometry techniques
that allow this high performance rely on low noise to be
able to detect fringe movement. Properly isolating an interferometer
will allow it to provide the highest possible resolution.
But interferometers and other optical systems are often
quite complex. They have long optical paths that can lead
to angular magnification of vibrations. Air tables can make
the problems worse since they have a resonant frequency
that often matches that of floor vibrations, typically 2-3Hz.
And their isolation efficiency is quite limited below about
8Hz. NSM isolators provide isolation in these environments
where air tables simply cannot.
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|
| Figure
2. Schematic of a negative-stiffness mechanism (NSM)
vibration isolator. A vertical stiffness adjustment
screw is used to regulate the compression force on
the negative-stiffness flexures. A vertical load adjustment
screw raises or lowers the base of the support spring
in response to varying weight loads to keep the flexures
in their straight, unbent operating position. |
What
negative-stiffness isolators provide is genuinely unique
to the field of laser and optical systems, in particular,
transmissibility: that is, the vibrations that transmit
through the isolator relative to the input vibrations
(see Figure 1). Transmissibility with negative-stiffness
is substantially improved over air systems, and even over
active isolation systems. Also known as electronic force
cancellation, this approach uses electronics to sense
motion and then adds forces electronically to effectively
cancel out or prevent it. The efficiency of active isolation
systems is adequate for application with the latest lasers
and optics, as they can start isolating as low as 0.7Hz.
But because they run on electricity, they can be negatively
influenced by problems of electronic dysfunction and power
modulation, which can interrupt scanning.
Negative-stiffness
isolators employ a completely mechanical concept in low-frequency
vibration isolation. Vertical-motion isolation is provided
by a stiff spring that supports a weight load, combined
with an NSM. The net vertical stiffness is made very low
without affecting the static load-supporting capability
of the spring (see Figure 2). Beam columns connected in
series with the vertical-motion isolator provide horizontal-motion
isolation. The horizontal stiffness of the beam columns
is reduced by the 'beam-column' effect. (A beam-column
behaves as a spring combined with an NSM.) The result
is a compact passive isolator capable of very low vertical
and horizontal natural frequencies and very high internal
structural frequencies. The isolators (adjusted to 1/2Hz)
achieve 93% isolation efficiency at 2Hz, 99% at 5Hz, and
99.7% at 10Hz.(3)
|
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| Figure
3. An NSM vertical motion isolator. W: Weight. K =
KS - KN: Stiffness of the isolator. P: Forces. |
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| Figure
4. An NSM horizontal motion isolator. |
NSM
isolators typically use three isolators stacked in series:
a tilt-motion isolator, on top of a horizontal motion
isolator, on top of a vertical-motion isolator. A vertical
motion isolator (see Figure 3) uses a conventional spring
connected to an NSM consisting of two bars hinged at the
center, supported at their outer ends on pivots, and loaded
in compression by forces P. (The hinged bars are for illustration
only. Flexures are used in the isolators to avoid stiction
and friction.) The spring is compressed by weight W to
the operating position of the isolator. The stiffness
of the isolator is K = KS - KN, where KS is the spring
stiffness and KN is the magnitude of a negative stiffness,
which is a function of the length of the bars and the
load P. The isolator stiffness can be made to approach
zero, while the spring supports the weight W.
A
horizontal-motion isolation system is illustrated by two
beam-column isolators (see Figure 4). Each isolator behaves
like two fixed-free beam-columns loaded axially by a weight
load W. Without the weight load, the beam-columns have
horizontal stiffness KS. With the weight load, the lateral
bending stiffness is reduced by the beam-column effect.
This behavior is equivalent to a horizontal spring combined
with an NSM so that the horizontal stiffness is K = KS
- KN, and KN is the magnitude of the beam-column effect.
Horizontal stiffness can be made to approach zero by loading
the beam-columns to approach their critical buckling load.
As
industry and universities continue to broaden their laser
and optical research and to devise applications necessitating
more sensitive equipment and expanded lab facilities,
vibration-handicapped environments will become more prevalent.
A better vibration isolation solution will be required
than has been available up to now. NSM vibration isolation
is a highly workable solution and costs significantly
less than conventional alternatives: up to one-third the
price. Improvements in our negative-stiffness technology
will continue with the addition of new standard bench
top and workstation configurations to accommodate additional
laser and optical systems. For example, the BM-1 bench
top platform capacity was recently increased to 1000lb,
and a new stand for the BM-1 platform will offer a compact
workstation to conserve valuable laboratory space with
approximate dimensions of 24×24×30in.
David Platus
Minus K Technology
Inglewood, CA
http://www.minusk.com
David
L. Platus is the inventor of NSM vibration isolation systems,
and president and founder of Minus K Technology, Inc.
He earned a BS and a PhD in engineering from the University
of California, Los Angeles, and a diploma from the Oak
Ridge School of (Nuclear) Reactor Technology. Prior to
founding Minus K Technology, he worked in the nuclear,
aerospace, and defense industries, conducting and directing
analysis and design projects in structural-mechanical
systems. He became an independent consultant in 1988.
He holds over 20 patents related to shock and vibration
isolation.
References:
1.
D. K. Ferry, Negative-stiffness vibration isolation improves
reliability of nanoinstrumentation, Laser Focus World
43, no. 10, pp. 107, 2007.
2. D. L. Platus, Negative-stiffness-mechanism vibration
isolation systems, Proc. SPIE 3786, pp. 98-105, 1999.doi:10.1117/12.363841
3. http://www.minusk.com/content/technology/performance
Minus K Technology performance results. Accessed 28 October
2008.