All Products Waveform Bicubic
Overhead canopies are used in auditoriums to blend the direct and early reflected sound, increasing speech intelligibility and enhancing musical clarity and intimacy. Traditionally, non-optimized, periodic flat panels and arcs have been used. These arrays can give rise to non-uniform coverage, due to array gaps, non-optimal shaping and periodicity effects. RPG has developed an optimization algorithm called the Shape Optimizer, to provide optimal shaping and tilting offering omnidirectional scattering. RPG’s patent pending aperiodic modulation of a single asymmetric base shape minimizes periodicity arraying effects and provides uniform coverage. Aperiodic modulation of a single asymmetric base shape allows infinite, seamless tiling and unlimited shapes are possible with different tiling patterns. Waveform Bicubic represents the next generation in acoustical canopy design. No other system provides the aesthetic and performance possibilities. Several depths are available in Class A GRG and GRG/Honeycomb/GRG (referred to as GHG) novel materials.
Problem
When multiple spaced canopy panels are used in an array, the scattering
response or coverage is the combination of the response of a singel
panel and the periodic arrangement. Periodicity results in scattering
in prefered directions, which depend on the array configuration. The
sound level in these preferred diffraction directions depends on the
uniform scattering capability of each individual panel. As a result,
coverage is often compromised unless optimization is utilized. 
Solution
To solve this problem, RPG developed the first Shape Optimization
program , which automatically determines the best shape, tilt and
arraying to insure uniform coverage. The Shape Optimizer combines the
power of the boundary element and multi-dimensional optimization
techniques, incorporating the diffusion coefficient as the metric of
optimal performance. Therefore, optimal shape provides uniform
coverage. Periodicity effects are minimized by modulating the
asymmetric base shape, thus allowing the canopy array to perform as one
of the individual optimized canopy elements. Thus Waveform Bicubic
offers a level of performance and aesthetics formerly not available in
commercial canopies.
Diffusion
Aperiodic Modulation of a Single
Asymmetric Base Shape
RPG’s patent pending Aperiodic Modulation of a Single Asymmetric
Base Shape allows the creation of wide area coverage seamlessly with a
single asymmetric base shape (top), thus minimizing periodicity effect.
This is possible, because the asymmetric central shape, determined by
the architect or acoustician, morphs to identical sides, which have a
zero gradient allowing adjacent tiles to seamless transition without
discontinuity in any orientation (middle) forming a larger aperiodic
array (bottom 4x4 array). Thus with an optimized aperiodic array,
canopy performance can finally be mathematically determined and
evaluated. The performance of the aperiodic array is similar to that of
one of the acoustically optimized canopy elements.
Installation
The Waveform Bicubic can be used as an overhead canopy and also in a
wall mounting. Overhead mounting is accomplished by bolting adjacent
modules together and suspending from integral hairpin hanging loops
with aircraft cables. Wall mounting is accomplished by attaching
through the sides into cleats mounted to the substrate.
Applications
Worship Spaces, Band Rooms, Choral Rooms, Stage Shells,
Recording and Broadcast Studios, Auditoriums, Performing Arts Centers,
Theaters and Cinemas.Worship Spaces, Band Rooms, Choral Rooms, Stage Shells,
Recording and Broadcast Studios, Auditoriums, Performing Arts Centers,
Theaters and Cinemas.
Specifications
Product Option Sheet
Waveform® Bicubic panels are available in
4’x4’x2”, 4’x4’x4” and
4’x4’x8” sizes. The Bicubic is fabricated from Glass
Reinforced Gypsum and the surface weight ranges from 3 to 5 lbs/sf.
Panels can be factory or field painted. When joined into aperiodic two
dimensional arrays, seams can be filled, sanded and field painted.
Features
Benefits
