44.8809(44.8810)
51.4978(51.4980)
150.743(150.733)
649.367(650.206)
(0.5, 0.5, z)
z = 0.5h
-15.6259(-15.6264)
-30.7654(-30.7654)
-48.9480(-48.9478)
-123.891(-123.889)
-442.713(-442.514)
z = 0.4h+
-12.4002(-12.3978)
-23.1401(-23.1399)
-23.8576(-23.8573)
43.4841(43.4832)
399.777(399.971)
z = 0.4h-
-12.4002(-12.3978)
-2.47206(-2.47205)
-0.41064(-0.41064)
-0.12230(-0.12230)
-0.08903(-0.08946)
z = -0.4h+
12.3427(12.3404)
2.33393(2.33392)
0.23404(0.23404)
-0.05935(-0.05934)
-0.09017(-0.09129)
z = -0.4h-
12.3427(12.3404)
23.4274(23.4273)
24.5512(24.5509)
-40.2356(-40.2337)
-371.648(-374.066)
z = -0.5h
15.5620(15.5625)
30.9947(30.9947)
49.0753(49.0751)
121.504(121.502)
415.435(417.599)
(x=0, y=0.5)
z = 0.4h+
0.99214(0.99210)
1.78299(1.78301)
1.64940(1.64946)
1.24653(1.24664)
0.61880(0.59365)
z = -0.4h+
0.99152(0.99151)
1.78239(1.78241)
1.64878(1.64885)
1.24591(1.24609)
0.61820(0.72700)
Table 1.3. Normalized results for the sandwich plate of the aspect ratio a/h = 5. Values in the upper (lower) row are from the analytical (least-squares) solution
β→
1
10
100
1000
10,000
(0.5, 0.5, -0.5h)
-32.8669(-32.8636)
-11.0284(-11.0283)
-5.97592(-5.97592)
-3.72388(-3.72393)
-0.75513(-0.75586)
(0.5, 0.5, z)
z = 0.5h
-6.24479(-6.24849)
-11.5195(-11.5194)
-22.3767(-22.3764)
-111.720(-111.718)
-325.689(-325.756)
z = 0.4h+
-4.71502(-4.69630)
-5.97928(-5.97819)
10.0974(10.0971)
104.342 (104.339)
323.587(323.515)
z = 0.4h-
-4.71502(-4.69630)
-0.61521(-0.61510)
0.08244(0.08244)
0.08837(0.08836)
0.02295(0.02297)
z = -0.4h+
4.63045(4.61255)
0.58473(0.58471)
-0.08814(-0.08813)
-0.09061(-0.09061)
-0.02446(-0.02461)
z = -0.4h-
4.63045(4.61255)
5.85733(5.85718)
-8.65984(-8.65970)
-86.8644(-86.8631)
-182.172(-183.119)
z = -0.5h
6.11899(6.12250)
11.0239(11.0236)
20.1365.(20.1366)
93.4349(93.4337)
183.620(184.363)
(0.5, 0.5, z)
z = 0.5h
-4.28086(-4.28249)
-9.36617(-9.36611)
-20.0972(-20.0970)
-74.2391(-74.2373)
-201.621(-201.636)
z = 0.4h+
-3.31557(-3.30643)
-5.92194(-5.92142)
-0.10678(-0.10682)
58.6449(58.6434)
197.676(197.642)
z = 0.4h-
-3.31557(-3.30643)
-0.74984(-0.74979)
-0.17007(-0.17007)
-0.08703(-0.08704)
