Solid Mechanics Homework 31-33
31. A machine on a cantilever
32. A beam on simple supports
33. Vibration of piano strings
Return to the outline of the course.
31. A machine on a cantilever
32. A beam on simple supports
33. Vibration of piano strings
Return to the outline of the course.
MECHANICAL AND AEROSPACE ENGINEERING
POSITION: The Department of Mechanical and Aerospace Engineering invites applications for one or more TENURE-TRACK or TENURED FACULTY POSITIONS at the Assistant, Associate or Full Professor levels. Successful candidates will be expected to teach undergraduate and graduate courses in Mechanical and Aerospace Engineering and to establish a vigorous extramurally funded research program.
QUALIFICATIONS: Ph.D. or equivalent degree.
RANK AND SALARY: Level of appointment commensurate with qualifications; salary based on published UC pay scales.
CLOSING DATE FOR APPLICATIONS: November 30, 2006.
Send detailed resume, personal statement summarizing teaching experience and research interests, leadership efforts and contributions to diversity, and names/addresses of 5 professional references to:
Although nanostructures, such as nanoparticles, nanotubes, nanowires, nanobelts, and nanometer thick films, nanostructured materials and nanocomposites have been synthesized and fabricated by various techniques, their mechanical properties have not been well explored. These nanostructures are being used as structural and functional building blocks to construct micro/nanodevices. Some nanostructured materials exhibit the breakdown of Hall-Petch behavior. The failure of conventional reinforcing models has been found in nanocomposites. The extremely small dimensions of nanomaterials and micro/nanodevices impose tremendous challenges to many existing experimental techniques and modeling tools. An in-depth understanding of mechanics at the nanoscale is greatly needed. Development of mechanical testing, and manipulation instruments and techniques, is also a technological necessity. This symposium will focus on research on mechanical properties of nanostructures, nanostructured materials and nanocomposites, and reliability testing of micro/nanodevices.
Though not that original, I want to recommend Timoshenko. Since many people have mentioned it already, I will discuss a Brief on Tensor Analysis by James Simmonds. Though not always useful, I sometimes use it to remember tensor rules that I have forgotten. The book is divided into chapters as follows:
I: Vectors and Tensors
II: General Bases and Tensor Notation
III: Newton's Law and Tensor Calculus
IV: Gradient, Del Operator, Covariant Differentiation, Divergence Theorem
Again, sometime it is not that useful and you spend your time trying to read it while not learning much, but it does come in handy sometimes. You can see the amazon link:
Rui Huang's post early today reminded me of writing to all of you who are going to ASME meeting in Chicago, 5-10 November 2006, a short 10 days from today.
As I wrote in September, much of the initial planning for the next year's Congress will happen at the committee meetings this year. These meetings will formulate possible topics for symposiums in the next Congress. Surely you would like to see your favorite topics get picked.
Meetings of all Technical Committees are open to all. Please find the meeting times of the Technical Committees that interest you. You may also want to know who are the Chairs of the 17 Technical Committees in the Applied Mechanics Division.
After discussion with Xuanhe, I believe that B=0 for Q21 because there's no cut-and-weld operation here. Then the solusion is exactly the Lame Solution in Cylindrical Shape as in Q8.
What do you think?
I would like to recommend "Elasticity: Theory, Applications, and Numerics" by Prof. Martin H. Sadd as a reference for ES240. The book, as its name indicated, is mainly focused on elasticity theory and its applications, but also discusses numerical methods such as finite element method and boundary element method.
Prof. Martin H. Sadd, organized the book into two parts: I. foundations, and II Advanced topics. In part I, the book clearly outlines the basic equations of elasticity, i.e. strain/displacement relation, Hooke's law, and equilibrium equation. The other context of part I is devoted to the formulation and solution of two-dimensional problems. This structure matches the progress of our class very well.
The second part of the book begins with the discussion of anisotropic elasticity, thermo-elasticity, and micromechanics. These topics are complementary to the notes of ES240, and helpful in solving homework problems. In its last chapter, the book introduced finite element method and boundary element method.
In response to a proposal by Zhigang Suo in November 2005, the Executive Committee of the Applied Mechanics Division (AMD) of ASME has created a new Technical Committee on Integrated Structures. The main purpose is to provide a home at AMD for those who are working in the interdisciplinary areas involving applied mechanics and integrated materials/structures such as microelectronics and biomedical technologies. Read more here.
To forge the link between academia and industries, the committee will be co-chaired by industrial and academic members. For the first year, Jun He of Intel and Rui Huang (myself) have served as the co-chairs. As the 2006 ASME Congress (November 5-10) coming around the corner, we would like to draw your attention to our first activities at the congress.
While studying (very diligently) for my upcoming midterm, I discovered a wonderful Wiki that provides problems and solutions for many collegiate math courses.
well ,this is my first article .I am very glad to be one of imechanica. Now I am a Ph.D candidate at a Institute.