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Waveform Bicubic
 

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48''x48''x4''
48''x48''x8''

Waveform Bicubic

Optimized Compound Curvature GRG Canopies From The Acoustical Industry¡¯s Leading Innovator


Overhead canopy arrays are used in auditoriums and worship spaces 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 .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 Glass Reinforced Gypsum

Problem and Solution

Problem
When multiple spaced canopy panels are used in an array ,the scattering response of a single panel and the periodic arrangement .periodicity results in scattering in preferred 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, 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 multidimensional 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. The Waveform Bicubic offers a level of performance and aesthetics formerly not available in commercial canopies.

Performance Specifications

 


RPG's patented Aperiodic Modulation of a Single Asymmetric Base Shape allows the creation of wide area coverage seamlessly with a single asymmetric base (top), thus minimizing periodicity effects. 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 seamlessly 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.



 
Frequency, Hz


Aperiodic Modulation of an Asymmetric Base Sharpe¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡Absorption Coefficient

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 supplied engineered cables. Wall mounting is accomplished by attaching through the sides into cleats mounted to the substrate.