Application of the Force Analogy Method in Modal Superposition

The article deals with the approach to developing an advertising multimedia product for the promotion or sale of goods or services. Under the advertising product is an advertising video, an interactive commercial, 3-D advertising, virtual and augmented reality, an online store. Based on the analogy method, a diagram of the process of perceiving the advertising multimedia product by the user is presented. The use of the hybrid approach of customer development for updating the multimedia product and taking into account the virtual values of users is substantiated. Developed scenarios for the development of a multimedia product, depending on the results of achieving the planned goals. The sequence of multimedia product development is proposed based on the convergence of face-to-face and screen-to-screen approaches.

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Generalized modified modal superposition procedure for seismic design of rocking and pivoting steel spine systems

Journal of Constructional Steel Research ◽

10.1016/j.jcsr.2021.106745 ◽

2021 ◽

Vol 183 ◽

pp. 106745

Author(s):

Amory Martin ◽

Gregory G. Deierlein

Keyword(s):

Seismic Design ◽

Modal Superposition

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Study on Optimal Placement and Reasonable Number of Viscoelastic Dampers by Improved Weight Coefficient Method

Mathematical Problems in Engineering ◽

10.1155/2013/358709 ◽

2013 ◽

Vol 2013 ◽

pp. 1-10 ◽

Cited By ~ 3

Author(s):

Ji-ting Qu ◽

Hong-nan Li

Keyword(s):

Mathematical Model ◽

Weight Coefficient ◽

Optimal Placement ◽

Optimal Method ◽

Analogy Method ◽

Numerical Examples ◽

Viscoelastic Dampers ◽

Reasonable Number ◽

Coefficient Method

A new optimal method is presented by combining the weight coefficient with the theory of force analogy method. Firstly, a new mathematical model of location index is proposed, which deals with the determination of a reasonable number of dampers according to values of the location index. Secondly, the optimal locations of dampers are given. It can be specific from stories to spans. Numerical examples are illustrated to verify the effectiveness and feasibility of the proposed mathematical model and optimal method. At last, several significant conclusions are given based on numerical results.

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DYNAMIC BEHAVIOR OF TELESCOPIC CRANES BOOM

International Journal of Structural Stability and Dynamics ◽

10.1142/s0219455413500107 ◽

2013 ◽

Vol 13 (01) ◽

pp. 1350010 ◽

Cited By ~ 1

Author(s):

IOANNIS G. RAFTOYIANNIS ◽

GEORGE T. MICHALTSOS

Keyword(s):

Dynamic Response ◽

Dynamic Analysis ◽

Dynamic Behavior ◽

Analytical Model ◽

Constant Velocity ◽

Steel Beam ◽

Continuum Approach ◽

Theoretical Formulation ◽

Modal Superposition ◽

Superposition Technique

Telescopic cranes are usually steel beam systems carrying a load at the tip while comprising at least one constant and one moving part. In this work, an analytical model suitable for the dynamic analysis of telescopic cranes boom is presented. The system considered herein is composed — without losing generality — of two beams. The first one is a jut-out beam on which a variable in time force is moving with constant velocity and the second one is a cantilever with length varying in time that is subjected to its self-weight and a force at the tip also changing with time. As a result, the eigenfrequencies and modal shapes of the second beam are also varying in time. The theoretical formulation is based on a continuum approach employing the modal superposition technique. Various cases of telescopic cranes boom are studied and the analytical results obtained in this work are tabulated in the form of dynamic response diagrams.

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Structural Shape Reconstruction of FBG Flexible Plate Using Modal Superposition Method

Volume 8: 29th Conference on Mechanical Vibration and Noise ◽

10.1115/detc2017-67316 ◽

2017 ◽

Author(s):

Li Li ◽

Ben S. Zhong ◽

Zi Y. Geng ◽

Wei Sun

Keyword(s):

Mode Shape ◽

Shape Reconstruction ◽

Displacement Sensor ◽

Superposition Method ◽

Flexible Plate ◽

Structural Shape ◽

Modal Superposition ◽

Displacement Mode ◽

Modal Superposition Method ◽

Strain Data

Structural shape reconstruction is a critical issue for real-time structural health monitoring in the fields of engineering application. This paper shows how to implement structural shape reconstruction using a small number of strain data measured by fiber Bragg grating (FBG) sensors. First, the basic theory of structural shape reconstruction is introduced using modal superposition method. A transformation is derived from the measured discrete strain data to global displacement field through modal coordinate, which is the same for strain mode shape superposition and displacement mode shape superposition. Then, optimization of the sensor layout is investigated to achieve the effective reconstruction effect. Finally, structural shape reconstruction algorithm using modal superposition method is applied in experiments. The experiment results show that the reconstructed displacements match well with those measured by a laser displacement sensor and the proposed approach is a promising method for structural shape reconstruction.

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Modal superposition according to EC8

Stahlbau ◽

10.1002/stab.201710517 ◽

2017 ◽

Vol 86 (8) ◽

pp. 736-740 ◽

Cited By ~ 1

Author(s):

Thomas Ummenhofer ◽

Peter Knödel

Keyword(s):

Modal Superposition

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Measured Film Cooling Effectiveness of Three Multihole Patterns

Journal of Heat Transfer ◽

10.1115/1.2137762 ◽

2005 ◽

Vol 128 (2) ◽

pp. 192-197 ◽

Cited By ~ 14

Author(s):

Yuzhen Lin ◽

Bo Song ◽

Bin Li ◽

Gaoen Liu

Keyword(s):

Experimental Data ◽

Mass Transfer ◽

Film Cooling ◽

Row Spacing ◽

Cooling Effectiveness ◽

Film Cooling Effectiveness ◽

Analogy Method ◽

Blowing Ratio ◽

The Third ◽

Coolant Injection

As an advanced cooling scheme to meet increasingly stringent combustor cooling requirements, multihole film cooling has received considerable attention. Experimental data of this cooling scheme are limited in the open literature in terms of different hole patterns and blowing ratios. The heat-mass transfer analogy method was employed to measure adiabatic film cooling effectiveness of three multihole patterns. Three hole patterns differed in streamwise row spacing (S), spanwise hole pitch (P), and hole inclination angle (α), with the first pattern S∕P=2 and α=30°, the second S∕P=1 and α=30°, and the third S∕P=2 and α=150°. Measurements were performed at different blow ratios (M=1-4). Streamwise coolant injection offers high cooling protection for downstream rows. Reverse coolant injection provides superior cooling protection for initial rows. The effect of blowing ratio on cooling effectiveness is small for streamwise injection but significant for reversion injection.

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