# Applied Impact Mechanics von Lakshmana Rao, C. (eBook)

• Erscheinungsdatum: 13.06.2016
• Verlag: Wiley
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## Applied Impact Mechanics

List of Figures Figure 2.1 : (a) Rigid rotation of a cantilever structure when subjected to transverse load and (b) bending deformation of the cantilever structure considering it as a deformable body Figure 2.2 : Illustration of the instantaneous indentation that is associated with the impact process Figure 2.3 : Normal contact force F as a function of (a) relative displacement d and (b) time t ; and (c) normal impulse P ( t ) as a function of time t Figure 2.4 : The two-car impact: (a) pre-impact velocities, (b) end of compression velocity, and (c) post-impact velocities Figure 2.5 : Newton's 3rd law as applied to collinear collision of two cars Figure 2.6 : Work Wc done by normal contact force F against bodies during period of compression, and work Wf - Wc recovered during restitution, as functions of normal relative displacement d at contact point Figure 2.7 : Oblique impact of a ball on a horizontal floor Figure 2.8 : Indentation and rebound of a new sports ball Figure 2.9 : (a) Carromen with stack of coins; and (b) escape of blue carromen due to a strike Figure 2.10 : (a) Impactor impacting on a safety net; and (b) angle of contact at impact Figure 3.1 : Elements of single degree of freedom vibrations Figure 3.2 : Free-body diagram of a single degree of freedom system Figure 3.3 : Influence of k 1 ( zeta = 0.1) Figure 3.4 : Influence of E ( k 1 = 1; zeta = 0.1) Figure 3.5 : A thin rod (a) with coordinate x and displacement u of a section; and (b) the stresses acting on a differential element of rod Figure 3.6 : A rigid mass impacting a long stationary slender rod Figure 3.7 : A rigid rotary disc impacting a long stationary thin walled hollow circular shaft Figure 3.8 : (a) Thin rod undergoing transverse motion; and (b) an element of rod subjected to various loads Figure 3.9 : Axial displacements in a thin rod at successive times resulting from the propagating wave Figure 4.1 : State of stress at a point P in an arbitrary plane Figure 4.2 : Mohr's circles for three dimensional state of stress Figure 4.3 : Octahedral planes Figure 4.4 : Positive normal and shear stress components Figure 4.5 : (a) Cylindrical coordinates of a point; and (b) stresses on a cylindrical element Figure 4.6 : Spherical coordinate system and stress components Figure 4.7 : Displacements of two neighboring points P

## Produktinformationen

Format: ePUB
Seitenzahl: 350
Erscheinungsdatum: 13.06.2016
Sprache: Englisch
ISBN: 9781119241836
Verlag: Wiley
Größe: 16068 kBytes
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## Applied Impact Mechanics

List of Figures

Figure 2.1 : (a) Rigid rotation of a cantilever structure when subjected to transverse load and (b) bending deformation of the cantilever structure considering it as a deformable body Figure 2.2 : Illustration of the instantaneous indentation that is associated with the impact process Figure 2.3 : Normal contact force F as a function of (a) relative displacement d and (b) time t ; and (c) normal impulse P ( t ) as a function of time t Figure 2.4 : The two-car impact: (a) pre-impact velocities, (b) end of compression velocity, and (c) post-impact velocities Figure 2.5 : Newton's 3rd law as applied to collinear collision of two cars Figure 2.6 : Work Wc done by normal contact force F against bodies during period of compression, and work Wf - Wc recovered during restitution, as functions of normal relative displacement d at contact point Figure 2.7 : Oblique impact of a ball on a horizontal floor Figure 2.8 : Indentation and rebound of a new sports ball Figure 2.9 : (a) Carromen with stack of coins; and (b) escape of blue carromen due to a strike Figure 2.10 : (a) Impactor impacting on a safety net; and (b) angle of contact at impact Figure 3.1 : Elements of single degree of freedom vibrations Figure 3.2 : Free-body diagram of a single degree of freedom system Figure 3.3 : Influence of k 1 ( zeta = 0.1) Figure 3.4 : Influence of E ( k 1 = 1; zeta = 0.1) Figure 3.5 : A thin rod (a) with coordinate x and displacement u of a section; and (b) the stresses acting on a differential element of rod Figure 3.6 : A rigid mass impacting a long stationary slender rod Figure 3.7 : A rigid rotary disc impacting a long stationary thin walled hollow circular shaft Figure 3.8 : (a) Thin rod undergoing transverse motion; and (b) an element of rod subjected to various loads Figure 3.9 : Axial displacements in a thin rod at successive times resulting from the propagating wave Figure 4.1 : State of stress at a point P in an arbitrary plane Figure 4.2 : Mohr's circles for three dimensional state of stress Figure 4.3 : Octahedral planes Figure 4.4 : Positive normal and shear stress components Figure 4.5 : (a) Cylindrical coordinates of a point; and (b) stresses on a cylindrical element Figure 4.6 : Spherical coordinate system and stress components Figure 4.7 : Displacements of two neighboring points P

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