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A Closed Form Trim Solution Yielding Minimum Trim Drag For Airplanes With Multiple Longitudinal Control Effectors by Kenneth H. Goodrich
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1NASA Technical Reports Server (NTRS) 19890014097: A Closed-form Trim Solution Yielding Minimum Trim Drag For Airplanes With Multiple Longitudinal-control Effectors
By NASA Technical Reports Server (NTRS)
Airplane designs are currently being proposed with a multitude of lifting and control devices. Because of the redundancy in ways to generate moments and forces, there are a variety of strategies for trimming each airplane. A linear optimum trim solution (LOTS) is derived using a Lagrange formulation. LOTS enables the rapid calculation of the longitudinal load distribution resulting in the minimum trim drag in level, steady-state flight for airplanes with a mixture of three or more aerodynamic surfaces and propulsive control effectors. Comparisons of the trim drags obtained using LOTS, a direct constrained optimization method, and several ad hoc methods are presented for vortex-lattice representations of a three-surface airplane and two-surface airplane with thrust vectoring. These comparisons show that LOTS accurately predicts the results obtained from the nonlinear optimization and that the optimum methods result in trim drag reductions of up to 80 percent compared to the ad hoc methods.
“NASA Technical Reports Server (NTRS) 19890014097: A Closed-form Trim Solution Yielding Minimum Trim Drag For Airplanes With Multiple Longitudinal-control Effectors” Metadata:
- Title: ➤ NASA Technical Reports Server (NTRS) 19890014097: A Closed-form Trim Solution Yielding Minimum Trim Drag For Airplanes With Multiple Longitudinal-control Effectors
- Author: ➤ NASA Technical Reports Server (NTRS)
- Language: English
“NASA Technical Reports Server (NTRS) 19890014097: A Closed-form Trim Solution Yielding Minimum Trim Drag For Airplanes With Multiple Longitudinal-control Effectors” Subjects and Themes:
- Subjects: ➤ NASA Technical Reports Server (NTRS) - AERODYNAMIC BALANCE - AIRCRAFT DESIGN - COMPUTATION - LIFT DEVICES - OPTIMIZATION - REDUNDANCY - THRUST VECTOR CONTROL - ACCURACY - AERODYNAMIC LOADS - COMPARISON - NONLINEARITY - Goodrich, Kenneth H. - Sliwa, Steven M. - Lallman, Frederick J.
Edition Identifiers:
- Internet Archive ID: NASA_NTRS_Archive_19890014097
Downloads Information:
The book is available for download in "texts" format, the size of the file-s is: 31.40 Mbs, the file-s for this book were downloaded 65 times, the file-s went public at Fri Sep 23 2016.
Available formats:
Abbyy GZ - Animated GIF - Archive BitTorrent - DjVuTXT - Djvu XML - Item Tile - Metadata - Scandata - Single Page Processed JP2 ZIP - Text PDF -
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Source: LibriVox
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Available audio books for downloads from LibriVox
1Life of Benjamin Franklin
By Samuel G. Goodrich

<p>This little book was intended for the education of school children and includes tales, sketches and anecdotes of his life written for the children of the mid 1800's and written in the English language of that period. Each chapter has numerous questions intended for the the reader or the teacher to quiz themselves to see if they gathered the pertinent information. The quiz questions will not be recorded. Also part of this book are numerous short essays written by Franklin on various topics. These entertaining and insightful samples occupy sections 17 through 27. (Summary by phil chenevert)
“Life of Benjamin Franklin” Metadata:
- Title: Life of Benjamin Franklin
- Author: Samuel G. Goodrich
- Language: English
- Publish Date: 1836
Edition Specifications:
- Format: Audio
- Number of Sections: 27
- Total Time: 03:58:56
Edition Identifiers:
- libriVox ID: 7862
Links and information:
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- File Name: lifeofbenjaminfranklin_1308_librivox
- File Format: zip
- Total Time: 03:58:56
- Download Link: Download link
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2Poems
By Samuel G. Goodrich

This is a very varied collection of poems by Samuel G. Goodrich, alias Peter Parley. Some of the poems in this volume are rather dark and somber, others of a more light-hearted tone. Some of the poems are addressed to children, some are better enjoyed by adults. In any case, each reader, or listener, should find something suited to his or her tastes and moods in this collection. - Summary by Carolin
“Poems” Metadata:
- Title: Poems
- Author: Samuel G. Goodrich
- Language: English
- Publish Date: 1851
Edition Specifications:
- Format: Audio
- Number of Sections: 37
- Total Time: 02:23:21
Edition Identifiers:
- libriVox ID: 11048
Links and information:
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- File Name: poems_goodrich_1608_librivox
- File Format: zip
- Total Time: 02:23:21
- Download Link: Download link
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3Great Events in the History of North and South America
By Charles Goodrich

Step back and time and learn about people, places, and things that helped to mold North and South America. - Summary by CBTeddy
“Great Events in the History of North and South America” Metadata:
- Title: ➤ Great Events in the History of North and South America
- Author: Charles Goodrich
- Language: English
- Publish Date: 1851
Edition Specifications:
- Format: Audio
- Number of Sections: 87
- Total Time: 31:38:47
Edition Identifiers:
- libriVox ID: 20410
Links and information:
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- File Name: northandsouth_2503_librivox
- File Format: zip
- Total Time: 31:38:47
- Download Link: Download link
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4Leaf
By Samuel G. Goodrich
LibriVox volunteers bring you 15 recordings of The Leaf by Samuel Griswold Goodrich.<br> This was the Fortnightly Poetry project for August 17, 2025. <br> ------<br> Samuel Griswold Goodrich, better known by his pseudonym Peter Parley, was an American author and politician who established the children's magazine Merry's Museum. He was a Massachusetts State Senator in 1837. - Summary by Wikipedia
“Leaf” Metadata:
- Title: Leaf
- Author: Samuel G. Goodrich
- Language: English
- Publish Date: 1851
Edition Specifications:
- Format: Audio
- Number of Sections: 15
- Total Time: 00:40:00
Edition Identifiers:
- libriVox ID: 21878
Links and information:
Online Access
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- File Name: theleaf_2508,poem_librivox
- File Format: zip
- Total Time: 00:40:00
- Download Link: Download link
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